The first and last term of an AP are 17 and 350 respectively. If its common difference is 9. find the numbers of terms in the AP.

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Solution

let a and d are first term and common difference for an AP.

$\Rightarrow$ $l = a + (n - 1) d$

$\Rightarrow$ $350 = 17 + (n - 1) 9$

$\Rightarrow$ $333 = (n - 1) 9$

$\Rightarrow$ $n = 38$

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The first and last term of an AP are 17 and 350 respectively. If its common difference is 9. find the numbers of terms in the AP.

let a and d are first term and common difference for an AP.⇒l=a+(n−1)d⇒350=17+(n−1)9⇒333=(n−1)9⇒n=38

let a and d are first term and common difference for an AP.

$\Rightarrow$ $l = a + (n - 1) d$

$\Rightarrow$ $350 = 17 + (n - 1) 9$

$\Rightarrow$ $333 = (n - 1) 9$

$\Rightarrow$ $n = 38$