Question

Q.3) which term of the AP 11,8,5,2....is -151? ​

Answer 1

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11th

Maths

Sequences and Series

Arithmetic Progression

Check whether - 150 is a t...

MATHS

Check whether−150 is a term of the AP:11, 8, 5, 2....

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ANSWER

Here,a=11,d=8−11=−3

Let −150 be the nth term of the given A.P.

We know that,a

n

=a+(n−1)d

−150=11+(n−1)×−3

−150=11−3n+3

(−150)+(−14)=−3n

−3n=−164

3n=164

n=

3

164

So,it is clear that n is not an integer.

Therefore,−150 is not a term of the given A.P.

Answer 2

Answer:

let T1=11 ,T2=8, T3=5, T4=2, T1= a,  n= -151

d= T2-T1 = 8-11 = -3

tn= a+(n-1)×d

∴11+(-151-1)-3

= 11+456

=467

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