What is the sixth term of the sequence an=-3•2n+1
a6=

Step-by-step explanation:

The term of the sequence is given as .

To find the sixth term, which is denoted by , we substitute n=6 into the given rule.

This will give us:

Simplify the exponent to get:

We simplify further to get:

This simplifies to

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b