Find an explicit formula for the following sequence, an, which starts with a1=7. 7,−14,28,−56,112,…

aₙ= 7*(-2)ⁿ⁻¹

Step-by-step explanation:

7,−14,28,−56,112,…

This is a GP with first term of 7 and common ratio of -2

a₁=7

r= -2

aₙ= 7*(-2)ⁿ⁻¹

a

explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.