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Check whether -150 is a term of the A.P. 11, 8, 5, 2, … - Mathematics

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Check whether -150 is a term of the A.P. 11, 8, 5, 2, …
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Solution

For this A.P.,

a = 11

d = a2 − a1 = 8 − 11 = −3

Let −150 be the nth term of this A.P.

We know that,

an = a + (n − 1) d

-150 = 11 + (n - 1)(-3)

-150 = 11 - 3n + 3

-164 = -3n

`n = 164/3`

Clearly, n is not an integer.

Therefore, - 150 is not a term of this A.P.

Concept: nth Term of an AP
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APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.2 | Q 6 | Page 106
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