Question

insert 7 am between 2 and 17

Answer 1

Step-by-step explanation:

Given:2 and 17

To find: Insert 7 A.M.

Solution:

To insert 7 arithmetic mean,so that resultant sequence will be A.P.

we have to find common difference

Let seven A.M.'s are

a1,a2,a3... a7

So,

2,a1,a2,a3... a7, 17

17 is 9th term of the sequence

Apply general term formula

$a_n = a + (n - 1)d \\ \\ 17 = 2 + 8d \\ \\ 17 - 2 = 8d \\ \\ d = \frac{15}{8} \\ \\d = 1.875$

So,

the numbers are

a1=2+1.875=3.875

a2=2+2×1.875=5.75

a3=2+3×1.875=7.625

a4=2+4×1.875=9.5

a5=2+5×1.875=11.375

a6=2+6×1.875=13.25

a7=2+7×1.875=15.125

Thus,Seven A.M's are (3.875, 5.75, 7.625, 9.5, 11.375, 13.25, 15.125) inserted in between 2 and 17

Hope it helps you.

To learn more on brainly:

1)Find 14 A. M's between 5 and 8 and hence show that their sum is 14 times the AM.

between 5 and 8.

https://brainly.in/question/12958973

2)insert 4 Arithmetic mean between 5 and 20

https://brainly.in/question/2879345

Answer 2

Answer:

Seven A.M's are (3.875, 5.75, 7.625, 9.5, 11.375, 13.25, 15.125) inserted in between 2 and 17