Question

find the value of 105+106+........+235​

Answer 1

Answer:

105+ 106 =211+235=446

Answer 2

Given,

The AP series is = 105,106.....235

To find,

The sum of the given AP series.

Solution,

The first term of the AP (a) = 105

Common difference (d) = (Second term - First term) (106-105) = 1

Number of terms (n) = (Last term - Second term)+1 = (235-105)+1 = 130+1 = 131

Now we can easily calculate the sum of the given AP series by using the following mathematical formula,

Sum = n/2 [2a+(n-1)d]

= 131/2 [2×105 + (131-1)×1]

= 131/2 (210+130)

= 131/2 × 340

= 131 × 170

= 22270

Hence, the final value will be 22270.