The correct alternative is (B) -172.
You are watching: What is the 32nd term of the arithmetic sequence where a1 = 15 and a13= −57?
Step-by-step explanation: we are provided to discover the 32nd hatchet of the arithmetic sequence whereby the first term and 13th hatchet are
We understand that
the n-th term of an arithmetic sequence with an initial term
According come the given information, we have
and
Therefore, the 32nd term will be
Thus, the 32nd ax is -172.
Option (B) is correct.
- 174
Step-by-step explanation:
The nth ax of one arithmetic sequence is provided as
Tn = a + (n - 1)d
where Tn is the nth term
a is the first term , n is the variety of term and also d is the common difference. Together such,
a13 = a + (13 - 1)d
= a + 12d
Given that a1 = 12 and a13 = -60
-60 = 12 + 12d
12d = -72
d = -6
Hence a32 i m sorry is the 32nd term
= 12 + (32 - 1)-6
= 12 + (-186)
= - 174
-373
Step-by-step explanation:
A
n
=
A
1
+
d
(
n
−
1
)
A
1
=
−
32
A
9
=
−
120
⇒
A
9
=
−
32
+
d
(
9
−
1
)
⇒
−
120
=
−
32
+
d
(
8
)
⇒
−
88
=
8
d
⇒
d
=
−
11
A
32
=
−
32
+
(
−
11
)
(
32
−
1
)
⇒
A
32
=
−
32
+
(
−
11
)
(
31
)
⇒
A
32
=
−
32
+
−
341
⇒
A
32
=
−
373
Step-by-step explanation:
Given : the arithmetic succession where
We have to uncover the 32nd ax of the arithmetic sequence.
Since, the basic arithmetic succession having first term "a" and also common distinction "d" is provided by
Thus, because that the provided arithmetic sequence, us have,
very first term is
Calculate the common difference by placing a = 13 in above, we have,
Solving because that d, we have,
Divide by 12 both side, we have,
Thus, the usual difference is -6.
For 32nd term, placed a = 13 , d = -6 and n = 32 in
We have,
Simplify, us have,
Answer from: JackMonhen
a 32 = -171
Step-by-step explanation:
a.-171
Another concern on Mathematics
Mathematics, 21.06.2022 17:30
Consider the graph the the exponential role y=3(2)×
Answers: 1
Answer
Mathematics, 21.06.2022 19:50
Drag each tile right into the exactly box. No all tiles will certainly be used. Find the tables v unit rates higher than the unit rate in the graph. Then tenge this tables in order from least to greatest unit rate
Answers: 2
Answer
Mathematics, 21.06.2022 20:10
Ascientist has uncovered an organism the produces 5 offspring specifically one hour ~ its very own birth, and also then go on come live because that one week without producing any extr offspring. Each replicated organism likewise replicates at the very same rate. In ~ hour one, there is one organism. In ~ hour two, there space five more organisms. Exactly how many complete organisms are there in ~ hour seven? 2,801 19,531 19,607 97.655
Answers: 1
Answer
Mathematics, 21.06.2022 21:30
Not sure how to do this. Something , you
Answers: 3
Answer
You know the appropriate answer?
What is the 32nd term of the arithmetic sequence where a1 = –31 and a9 = –119?...
Questions
Health, 21.05.2022 23:20
How to do a human body composition evaluate on a subject...
Answer
Advanced placement (AP), 21.05.2022 23:20
let"s say hypothetically I want to urine ON a toilet, strategically, which next of it would be the most effective to urine on? /j...
Answer
Spanish, 21.05.2022 23:20
Please if you understand Spanish please assist me i give brainiest
Answer
Physics, 21.05.2022 23:20
Earthquakes can create three typesof waves. Among these is atransverse wave referred to as an S wave. Atypical S tide travels in ~ 500m/s. Its...
Answer
Mathematics, 21.05.2022 23:20
Write the steep intercept form of the equation of every line
Answer
Chemistry, 21.05.2022 23:20
After conducting a plant growth study, the students to be unsure just how much water the plants were given. Which method would best solve this difficulty in th...
Answer
History, 21.05.2022 23:20
Which of the following statements best describes economic conditions in Europe instantly after people War II?O The economies of most European natio...
Answer
Mathematics, 21.05.2022 23:20
A questionnaire has 10 multiple selection questions through 4 options each.Which the the following expressions represents the total variety of ways to answe...
Answer
Chemistry, 21.05.2022 23:20
Sediments indigenous mountains countless miles far are now in the area known as Florida. Which is the ideal explanation as to how most of these sediments moved s...
Answer
Chemistry, 21.05.2022 23:20
How plenty of moles space in 68 grams that potassium sulfide (K2S)?...
Answer
Mathematics, 21.05.2022 23:20
25x25=625 took the test...
Answer
World Languages, 21.05.2022 23:20
How many languages are spoken in nepal?...
Answer
Mathematics, 21.05.2022 23:20
Select all the changes of f(x) = sin(x) come g(x) = 5 sin(x - 5)....
Answer
Computers and Technology, 21.05.2022 23:20
Is there anything I have the right to do to fix my laptop? that is a chrome book and also my school detailed it. Whatever is tho working. If anyone to know how have the right to you p...
Answer
Mathematics, 21.05.2022 23:20
A questionnaire has 10 multiple choice questions with 4 options each.Which the the complying with expressions represents the total number of ways to answe...
Answer
Mathematics, 21.05.2022 23:20
Question 8 that 10Which parent duty is represented by the graph?
Answer
English, 21.05.2022 23:20
Which that the adhering to is a traditional, and perhaps inaccurate or misleadingidea, that what nonfiction composing is?A. Composing that is a product...
Answer
Mathematics, 21.05.2022 23:20
A heat is parallel come y=2x-8 and also intersects the allude (-4,-1) what is the equation the this parallel line?
Answer
Biology, 21.05.2022 23:20
Which that the following is an instance of an body organ in a plant?A. ChloroplastBleafC. SeedD. Vascular tissue...
Answer
Mathematics, 21.05.2022 23:20
My brain is hurting, to be doing mathematics all work long. Please help! No spam or links, I will report. Brainiest to correct answerer!
Answer
More questions: MathematicsAnother questions
See results (0)
The price is not found?
questioning an experienced a question
Join now
Password
Your question
Log inForgot your password?
Too brief question
Next
Log in
Password
Join nowForgot your password?
Invalid login or password
Log in
You room registered.Access to your account will be opened after verification and also publication that the question.
Next
Password recovery
New password sent out to your email
OkClose
Ask your question to one expert
Your name
Question
Pick a subject
Pick a subjectMathematicsHistoryEnglishBiologyChemistryPhysicsSocial StudiesAdvanced location (AP)SATGeographyHealthArtsBusinessComputers and also TechnologyFrenchGermanSpanishWorld Languages
Your question is also short
Add photoSend
Question sent out to expert. You will certainly receive an answer to the email.
See more: Service Engine Soon Nissan Altima 2005 Altima And The Service Engine Soon
OK
Cancel anytime.
No commitments. Cancel anytime. All pricing is in united state dollars (USD). The subscriptoin renews automaticaly until you cancel. For much more information check out our regards to use & Privacy plan
Instant access to the price in our app
And millions of other answers 4U without ads
Be smarter, download now!
or
check out a few ads and unblock the price on the site
You deserve to only ask a question in the app
Be smarter, download now!