Question

An ap consists of 43 term in the sum of middle most term is 195 then the sum of AP is Options
A) 1793
B) 1677
C) 1501
D) 1479

Answer 1

Answer:

1677,I think it is the answer

Answer 2

Answer:

1677

Step-by-step explanation:

For elements in AP..

a1 = a  

a2 = a + d

a3 = a + 2d

a4 = a + 3d

...

if the sum of 5 middle most term is 195.

Middle term in AP - (43 + 1)/2 = 22

a20 + a21 + a22 + a23 + a24 = 195

(a + 19d) + (a + 20d) + (a + 21d) + (a + 22d) + (a + 23d) = 195

5a + 19d + 20d + 21d + 22d + 23d = 195

5a + 105 d = 195

Therefore, a + 21 d = 39 --- (1)

Now sum of ap :- a1 + a2 + a3.. a43

= a + (a+d) + (a+2d) + .... (a+ 42d)

= 43a + (42.43/2)d

= 43a + 903d

= 43 ( a + 21d)

Substituting from 1 we get,

= 43 x 39 = 1677