Question

two arithemetic progressions have equal common differences.the 1st term of one of these is 3 and that of the other is 8;then the difference between their 100th term is?

Answer 1

Answer:

Equal common difference = d

For AP 1, a1 = 3

For AP 2, a2 = 8

For AP 1,

a100 = 3 + 99*d -- (i)

For AP 1 ,

a100' = 8 + 99d --(ii)

Difference,

a100' - a100 = 8 + 99d - 3 - 99d

a100' - a100 = 5