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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. (iv) -10,-6,-2,2,...

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

             (iv)  \small -10,-6,-2,2,...

Answers (1)

best_answer

Given series is
\small -10,-6,-2,2,...
Now,
first term to this series is = -10
Now,
a_1 = -10 \ \ and \ \ a_2 = -6 \ \ and \ \ a_3 = -2 \ \ and \ \ a_4 = 2
a_2-a_1 = -6-(-10) =-6+10=4
a_3-a_2 = -2-(-6) =-2+6 = 4
a_4-a_3=2-(-2)=2+2=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 = 2+4 =6
a_6=a_5+d = 6+4=10
a_7=a_6+d = 10+4=14
Therefore, next three terms of given series are  6,10,14

Posted by

Gautam harsolia

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