Question

th
th
3) 9° term of an Arithmetic Progression is 19.
The sum of 4 and 7 term is 24. Find the
4"
Arithmetic Progression.​

Answer 1

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Answer:

1

Step-by-step explanation:

Let the terms be

a+3d,a+d,a−d+a−3d

It is given that

T

1

+T

4

=8

Or

a+3d+(a−3d)=8

2a=8

a=4 ...(i)

And

T

2

×T

3

=15

(a+d)(a−d)=15

a

2

−d

2

=15

Now from i a=4.

Hence

16−d

2

=15

d

2

=1

d=1

Therefore the numbers are

7,5,3,1

Hence the least number of the sequence is 1.