Find a formula for the nth term of the arithmetic sequence.
First term 10
Common difference -3
an = [? ]n + [ ]

Given:

The first term of an arithmetic sequence = 10

Common difference = -3

To find:

The formula for nth term of the arithmetic sequence.

Solution:

The nth term of an arithmetic sequence is:

Where, a is the first term and d is the common difference.

Putting and in the above formula, we get

Therefore, the required formula for the nth term of the arithmetic sequence is .

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐