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If An Denotes the Nth Term of the Ap 2, 7, 12, 17, … Find the Value of (A30 - A20 ).

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Question

If a denotes the nth term of the AP 2, 7, 12, 17, … find the value of (a30 - a20 ).

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Solution

The given AP is 2, 7, 12, 17,………
Here, a = 2 and d = 7 - 2 = 5

∴ a30 - a20

=[ 2 +(30-1) × 5]-[2+(20-1) ×5]                    [an = a+ (n-1) d]

= 147-97

=50

Hence, the required value is 50.

 

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Chapter 5: Arithmetic Progression - Exercises 3

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercises 3 | Q 11

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