Question

Which term of AP, 21, 18,15... -81​

Answer 1

Answer:

Hope the above answer helps you

Answer 2

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$\huge\underline \mathfrak\green {solution:-}$

Given,

AP:21, 18, 15, .......... -81

$\blue\longrightarrow\tt a = 21$

$\blue\longrightarrow\tt d = 18 - 21 = - 3$

Let,

$\red\longrightarrow\tt an = - 81$

$\red\longrightarrow\tt a + (n - 1)d = - 81$

$\red\longrightarrow\tt 21 + (n - 1) \times ( - 3) = - 81$

$\red\longrightarrow\tt (n - 1) \times ( - 3) = - 81 - 21$

$\red\longrightarrow \tt n - 1 = \frac{ - 102}{ - 3}$

$\red\longrightarrow \tt n = 34 + 1$

$\red\longrightarrow\tt n = 35$

So, 35th term of AP is -81.

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