Question

Insert 4 numbers between 3 and 27 such the resulting sequence is an A.P.​

Answer 1

Step-by-step explanation:

27-3=24

24/(4+1)=24/5

3,3+24/5,3+24/5+24/5,3+24/5+24/5+24/5,

3+24/5+24/5+24/5+24/5,27

15/5,39/5,63/5,87/5,111/5,135/5

so this is in AP

Answer 2

Given:

→ Insert 4 numbers between 3 and 27 such the resulting sequence is an A.P.

To find:

→ Numbers between 3 and 27.

Answer:

- Let A1, A2, A3 and A4 be the four numbers.

- 3, A1, A2, A3, A4, 27

• a = 3.
• b = 27.
• n = 6.

Using formula:

★ An = a + (n - 1) d.

Therefore,

→ A1 = a + d = 3 + 3 = 6.

→ A2 = a + 2d = 3 + 2(3) = 9.

→ A3 = a + 3d = 3 + 3(3) = 12.

→ A4 = a + 4d = 3 + 4(3) = 15.