## The 3rd term of an arithinetic progression is-9 and the 7th term is -29. Find the 10th term of the progression.

Question

The 3rd term of an arithinetic progression is-9

and the 7th term is -29. Find the 10th term of the

progression.

in progress
0

Mathematics
2 weeks
2021-07-22T16:29:13+00:00
2021-07-22T16:29:13+00:00 1 Answers
2 views
0
## Answers ( )

Answer:-64Step-by-step explanation:The computation of the 10th term of the progression is shown below:

The 3rd term is -9

A_n = a + (n – 1)d-9 = a + (3 – 1)d

-9 = a + 2d

-9 – 2d = a

Now the 7th term is -29

A_n = a + (n – 1)d-29 = a + (7 – 1)d

-29 = a + 6d

Put the a value to the above equation

-29 = -9 – 2d + 6d

-29 + 9 = 4d

-20 = 4d

d = -5

Now

-9 – 2d = a

-9 – 2(-5) = a

-9 – 10 = a

a = -19

Now finally the 10th term of the progression is

= a + (n – 1)d= -19 + (10- 1)-5

= -19 -45

=

-64