Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If the nth term of a progression is (4n-10) show that it is an

Question

If the nth term of a progression is $(4 n - 10)$ show that it is an AP. Find its $16$ th term.

Views: 782 students

Found 7 tutors discussing this question

Mia Discussed

If the nth term of a progression is

(4 n - 10)

show that it is an AP. Find its

16

th term.

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Given,

n^{t h}

term of AP is

4 n - 10

Putting

n = 1, 2, 3, 4, ....,

we get

n = 1 : 4 n - 10 = 4 \times 1 - 10 = 4 - 10 = - 6

n = 2 : 4 n - 10 = 4 \times 2 - 10 = 8 - 10 = - 2

n = 3 : 4 n - 10 = 4 \times 3 - 10 = 12 - 10 = 2

n = 1 : 4 n - 10 = 4 \times 4 - 10 = 16 - 10 = 6

We see that

- 6, - 2, 2, 6, ....

are in AP

As Common difference

d = - 2 - (- 6) = 4

is same

16

th term:

Using formula:

a_{n} = a + (n - 1) d

Here

n = 16, a = 6, d = 4

a_{16} = - 6 + (16 - 1) 4 = 54

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	If the nth term of a progression is $(4 n - 10)$ show that it is an AP. Find its $16$ th term.
Answer Type	Text solution:1
Upvotes	150