Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Which of the following are AP's? If they form an AP, find the

Question

Which of the following are AP's? If they form an AP, find the common difference $d$ and the first $3$ terms.
$3, 3 +$ $2$ , $3 +$ 2 $2$ , $3 +$ 3 $2$ ,...

It is not an A.P.

It is an A.P and

d = 2

t_{5} = 3 + 42

t_{6} = 3 + 52

t_{7} = 3 + 62

It is an AP and

d = 3

t_{5} = 3 + 42

t_{6} = 4 + 52

, t_7$= 5 + 6\sqrt {2}

None of these

Views: 676 students

Found 8 tutors discussing this question

Elizabeth Discussed

Which of the following are AP's? If they form an AP, find the common difference

d

and the first

3

terms.

3, 3 +

2

3 +

2

3 +

2

,...

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Given series is

3, 3 + 2, 3 + 22, 3 + 32, .......

Clearly, the given sequence is an AP with first term

a = 3

and common difference

d = 3 + 2 - 3 = 2

n^{t h} t er m = a_{n} = a + (n - 1) d

∴ a_{5} = a + 4 d = 3 + 4 \times 2 = 3 + 42

a_{6} = a + 5 d = 3 + 5 \times 2 = 3 + 52

a_{7} = a + 6 d = 3 + 6 \times 2 = 3 + 62

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	Which of the following are AP's? If they form an AP, find the common difference $d$ and the first $3$ terms. $3, 3 +$ $2$ , $3 +$ 2 $2$ , $3 +$ 3 $2$ ,...
Answer Type	Text solution:1
Upvotes	150