Question

The sum of 3rd and 5th terms of an Ap is 30 and sum of 4th and 8th terms is 46 find the ap

Answer 1

A5+A3=30=a+2d+a+4d
30=2a+6d
a+3d=15 first eq.

A4+A8=a+3d+a+7d=46
46=2a+10d
23=a+5d second eq.
From first and second eq.
a+5d=23
-a-3d=-15
=2d=8
D=4
A=3
Hence A.P = 3, 7,11,15
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Answer 2

Solution:

A5+A3=30=a+2d+a+4d

30=2a+6d

a+3d=15, first equation.

A4+A8=a+3d+a+7d=46

46=2a+10d

23=a+5d, second equation

From first and second equation.

a+5d=23

-a-3d= -15

=2d =8

D=4

A=3

Hence, AP = 3,7,11,15........

What is an Arithmetic Progression (ap)?

- A series of numbers is considered to be an arithmetic progression or sequence if there is a constant difference between the terms.

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