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How many terms are there in the A.P. 7, 10, 13,......43?

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How many terms are there in the A.P. $7, 10, 13, ......43$ ?

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How many terms are there in the A.P.

7, 10, 13, ......43

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Text solutionVerified

Given

A . P :

7, 10, 13......43

first term

(a) = 7

common difference

(d) = a_{2} - a_{1}

= 10 - 7

d = 3

n^{t h}

term of

A . P

is given by

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

43 = 7 + (n - 1) 3

43 - 7 = 3 (n - 1)

3 (n - 1) = 36

(n - 1) = \frac{36}{3} = 12

n = 12 + 1 = 13

Hence, the number of terms in a given

A . P

13

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Question Text	How many terms are there in the A.P. $7, 10, 13, ......43$ ?
Answer Type	Text solution:1
Upvotes	150