Question

in an AP if the ratio of fourth and eighth terms is 7 : 13 and sixth term is 4 more than twice the second term find the ap​

Answer 1

Answer:

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

Step-by-step explanation:

$t_{n}=a+(n-1)d$

1) $\frac{a+3d}{a+7d}=\frac{7}{13}$

$13a+39d=7a+49d$

$6a=10d=>a=\frac{5d}{3}$ ------------ (1)

2)$a+5d=4+2(a+d)$

$a-3d+4=0=>\frac{5d}{3}-3d+4=0$

$=>d=3 =>a=5$

Therefore the required A.P is 5,8,11,14,17,...