Question

First term of an ap is negative 5 where as first term of an another AP 16 if the common difference of the both Ap
are.same find the difference between their 25th term

Answer 1

Answer:

+21 or -21

Step-by-step explanation:

given:-

let the 1st term of 1st AP be a and 1st term of another AP be A and common difference be d since both have same common difference.

let 25th term of 1st AP be t25 and second AP be T25

tn = a + (n-1)d .

t25 = -5 + 24d .

T25 = 16 + 24d .

to find difference of their 25th term.

t25 - T25 or T25 - t25

t25 - T25 = -5 + 24d - 16 -24d

t25 - T25 = -21 ( +24d -24d gets cancelled)

Now,

T25 - t25 = 16 + 24d -(-5) -24d

T25 - t25 = 16 + 5 ( +24d -24d gets cancelled)

T25 - t25 = 21

therefore their difference = +21 or -21.