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If 11, a, b, 2, are in A.P., find the values of a and b. - Mathematics

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Question

If 11, a, b, 2, are in A.P., find the values of a and b.

Sum
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Solution

a1 = 11

a2 = 2

an = a1 + (n − 1)d

2 = 11 + (4 − 1)d

2 = 11 + 3d

2 − 11 = 3d

− 9 = 3d

d = `(-9)/3`

d = −3

Calculate the values of a and b:

a = a1 + d

=11 + (−3)

= 8

b = a + d

= 8 + (−3)

= 5

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Chapter 9: Arithmetic and geometric progression - Exercise 9A [Page 173]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 9 Arithmetic and geometric progression
Exercise 9A | Q 5. | Page 173
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