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  • Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. (vii) 0, -4, -8, -12, ...

Q : 4         Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.

                 (vii)  \small 0,-4,-8,-12,...

Answers (1)

best_answer

Given series is
\small 0,-4,-8,-12,...
Now,
first term to this series is = 0
Now,
a_1 = 0 \ \ and \ \ a_2 = -4 \ \ and \ \ a_3 = -8 \ \ and \ \ a_4 = -12
a_2-a_1 = -4-0 =-4
a_3-a_2 = -8-(-4) =-8+4 = -4
a_4-a_3=-12-(-8)=-12+8=-4
We can clearly see that difference between terms are equal  and equal to -4
Hence, given series is in AP
Now, next three terms are
a_5=a_4+d = -12-4 =-16
a_6=a_5+d = -16-4=-20
a_7=a_6+d = -20-4=-24
Therefore, next three terms of given series are  -16,-20,-24

Posted by

Gautam harsolia

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