What are the explicit equation and domain for a geometric sequence with a first term of 5 and a second term of -10

Explicit formula--

The explicit formula is a formula which is used to represent the nth term of a sequence in terms of the variable n.

It is given that:

The first term of the sequence is 5 and the second term is -10.

This means that if a denotes the first term and r denotes the common ratio.

The geometric sequence is given by: a,ar,ar²,ar³,....

i.e. the nth term of the sequence is given by:

Then we have:

and

Hence, the nth term of the sequence is given by:

We know that the domain of a geometric sequence is the set of all the natural numbers.

( since the term a_n is defined for all the natural numbers ).

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10

answer: i don't understand. what are the options

step-by-step explanation: