Question

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Answer 1

a+17d =52

a+51d =148

by solving these eq

we get

d=48/17

a=4

applying formula

sum= n/2(2a+(n-1)d)

where n=56

we get

sum=(2776×28)/17

SUM = 77728/17

SUM=5600

Answer 2

Answer:

let first term of AP be n

common different ne d

then

Tn=a+(n-1)d

T19=a+(n-1)d

=} 52 = a+(19-1)d

=}52=a+18d...........eq.1

T38=a+(38-1)d

=}148=a+37d.......eq.2

Cross multiplication of eq. 1&2