The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarine's elevation have changed by -3/2 miles?

It is after 4 explorations that the submarine's elevation would have changed by -3/2 miles

Step-by-step explanation:

From the question,

The elevation of the submarine changes by -3/8 mile after each exploration.

To determine the number of explorations it will take for the submarine's elevation to have changed by -3/2 miles, we will divide -3/2 miles by the number of miles the elevation of the submarine changes per exploration (that is,  -3/8 mile),

That is,

-3/2 miles ÷ -3/8 mile

=

=

=

= 4

Hence, it is after 4 explorations that the submarine's elevation would have changed by -3/2 miles.

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9