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The first term of an A.P. is 5, the common difference is 3 and

Question

The first term of an $A . P .$ is $5$ , the common difference is $3$ and the last term is $80$ , find the number of terms.

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The first term of an

A . P .

5

, the common difference is

3

and the last term is

80

, find the number of terms.

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Given :

a_{1} = 5, d = 3

, a_{n} = 80

∴ a_{n} = a_{1} + (n - 1) d

80 = 5 + (n - 1) \times 3

75 = (n - 1) \times 3

n - 1 = \frac{75}{3}

n - 1 = 25 + 1

n = 26

Hence, This is answer.

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Question Text	The first term of an $A . P .$ is $5$ , the common difference is $3$ and the last term is $80$ , find the number of terms.
Answer Type	Text solution:1
Upvotes	150