30 POINTS! Find an explicit formula for the geometric sequence −1,−7,−49,−343
d(n)=

Step-by-step explanation:

Since the sequence above is a geometric sequence

For an nth term in a geometric sequence

where

a is the first term

r is the common ratio

n is the nth term

To find the common ratio divide the previous term by the next term

That's

So the common ratio / r = 7

the first term is - 1

Substitute the values into the above formula

We have the final answer as

Hope this helps you

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.