Question

the first negative term of sequence 65,62,59 is​

Answer 1

Answer:

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Answer 2

SOLUTION

TO DETERMINE

The first negative term of sequence 65,62,59..

EVALUATION

Here the given sequence is

65 , 62 , 59 ,..

First term = a = 65

Common Difference = d = 62 - 65 = - 3

Let nth term of the sequence is first negative term

nth term of the sequence

= a + ( n - 1 ) d

= 65 - 3( n - 1 )

= 68 - 3n

By the given condition

$\sf{68 - 3n < 0}$

$\sf{ \implies \: 3n > 68}$

$\sf{ \implies \: n > 22.6}$

Since n is a natural number

So n = 23

Hence 23rd term of the sequence is first negative term

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