Question

If 7 times the 7th term of an
arithmetic progression is equal to 9
times the 9th term.
Find the 16th term of the arithmetic
progression.​

Answer 1

EXPLANATION

GIVEN

7th times the 7th term of ap is equal to

9 times the 9th term of ap

7 X a7 = 9 X a9

7 ( a + 6d ) = 9 ( a + 8d )

7a + 42d = 9a + 72d

2a + 30d = 0

a + 15d = 0

a = -15d

TO FIND 16TH TERM OF AP

T16 = a + 15d

put the value of a in equation

-15d + 15d = 0

Therefore,

16th term of ap = 0