sequences: if tn = 4n−1, find t1, t2, t3 and tn+1 . express tn+1−tn in its simplest form.

t₁ = 3

t₂ = 7

t₃ = 11

Step-by-step explanation:

Given:

To Find:

t₁ = ?

t₂ = ?

t₃ = ?

Solution:

Put n = 1 in the given equation we get

t₁ = 4×1 - 1 = 3

Put n = 2

t₂ = 4×2 - 1 = 7

Put n = 3

t₃ = 4×3 - 1 = 11

Put n = n + 1

Now we want

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0