1.

If 7, a, b, 22 are the consecutive terms of an Arithmetic Progression, then thevalues of a' and 'b' are respectively equal to,A) 11 and 16 B) 12 and 17 C) 13 and 17 D) 12 and 16​

Answer»

C) 13 and 17

Step-by-step explanation:

Given -

  • A.P - 7 , a , b , 22
  • First term(A) - 7
  • Second term (A2) - a
  • Third term(A3) - b
  • Fourth term(A4) - 22

To FIND -

  • a and b.

Solution -

A4 = 22

→ A + 3d = 22

→ 7 + 3d = 22

→ 3d = 22 - 7

→ 3d = 15

→ d = 15/3

→ d = 5

Now, A2 = A + d

= 7 + 5

= 12

Similarly, A3 = A + 2d

= 7 + 2(5)

= 7 + 10

= 17

Formula used -

  • A(n) = A + (n - 1)d


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