Question

the fourth term of an ap is equal to ten times the first pove that sixth term is four times as great as the second term

Answer 1

hey mate ur ans is in the given attachment .......

Answer 2

Step-by-step explanation:

Since we have given that

Fourth term of a p = 10 a

Mathematically, it becomes,

$a_4=10a\\\\a+3d=10a\\\\3d=9a\\\\d=3a$

We need to prove that 6 th term is 4 times as great as second term

$a_6=4a_2\\\\a+5d=4(a+d)\\\\a+5d=4a+4d\\\\5d-4d=4a-a\\\\d=3a\\\\3a=3a\ (d=3a)$

Hence, proved.

# learn more:

In an AP the third term is equal to five times the sixth term. the second term is lesser by 3 than twice the fourth term. find the term of AP

https://brainly.in/question/3960340