Question

There are 37 terms in an Arithmetic Propagation the sum of the three time place extra are the mean that the middle is 225 and the sum of the last three terms is 429 what is an arithmetic progression

Answer 1

Answer:

Step-by-step explanation:

Let the middle term be 18,19,20

then

a+17d+a+18d+a+19d= 225

3a+54d= 225

3(a+18d)= 225

a+18d= 225÷3

a+18d= 75 ( 1 eq.)

Last three term is 35,36,37

then

a+34d+a+35d+a+36d= 429

3a+105d= 429

3 (a+35d)= 429

a+35d= 429÷3

a+35d= 143 ( 2 eq.)

Subtracting 2 eq. from 1 eq.

we get

,17d= 68

d= 4

Putting the value of d in 1 eq.

we get, a+18×4= 75

a+72= 75

a=75-72

a= 3

Then the AP will be 3,7,11......