Question

If the 3rd term of an A.P.is 4 times of its 1st term and its 6th term is 17. find the series?​

Answer 1

Answer:

2,5,8,11,14,17,...........

Step-by-step explanation:

Given that in an AP , the third term is four times the first term

.

Let the first term be a and the common difference be d

.

⇒a+2d=4×a

⇒2d=3a

Given that the sixth term is 17

,

⇒a+5d=17

⇒2d

/3+5d=17

⇒d=  17

3

/17×17=3

Therefore we get d=3 and a=  3

So the series is 2,5,8,11,14,17,...........

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