Maths / Arithmetic Progression / Finding The Value of N When Nth Term and AP is Given

QUESTION

Find the $\dpi{120} \fn_jvn \large 10^t^h$ term of the AP - 40, - 18, 4, 26, ......

 OPTIONS A. 160 B. 157 C. 168 D. 158
Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

Here                   a = - 40 and d = - 18 - (-40) = 22

We know that     $\dpi{100} a_n$ = a +(n - 1) d

$\dpi{100} \rightarrow$                    $\dpi{100} a_1_0$ = a + (10 - 1)d = - 40 + 9 (22) = - 40 + 198 = 158

Thus,            $\dpi{100} a_1_0$ = 158

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