Identify the correct formula for the following sequence. 2, -4, -10, -16, -22, ...
A. an = 6n - 8
B. an = -8n + 6
C. an = 8n - 6
D. an = -6n + 8

D

Step-by-step explanation:

The terms in the sequence have a common difference d between consecutive terms, that is

d = - 4 - 2 = - 10 - ( - 4) = - 16 - (- 10) = - 22 - (- 16) = - 6

This indicates the sequence is arithmetic with n th term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 6, thus

= 2 - 6(n - 1) = 2 - 6n + 6 = - 6n + 8 → D

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⭐