Question

sum of the series,4,7,10..........148

Answer 1

Answer:- The series are in AP (Arithmetic progression).

The series are 4,7,10,............,148.

a = 4, l = an = 148, d = a2- a1 = 7-4 = 3.

1. an = a+(n-1)d

148 = 4+(n-1)3

148-4 = (n-1)3

144/3 = ( n-1)

48+1 = n

49 = n.

sn = n/2 [a+l]

s49 = 49/2 [4+148]

= 49/2×152

= 49×76

= 3,724.

Therefore sum of the series is 3,724.

I hope it is helps to you.