Complete the recursive formula of the geometric sequence − 0.6 , 3 , − 15 , 75 , . . .

Solution:

Given geometric sequence is:

-0.6, 3 , -15, 75

We have to frame the recursive formula

Find the common ratio

Thus common ratio is -5

The nth term of geometric sequence is given as:

Where,

n is the nth term

a is the first term of sequence

r is common ratio

From sequence,

a = -0.6

r = -5

Therefore,

Where, n = 1 , 2 , 3 , 4 , .....

Thus the recursive formula is found

-0.6

-5

Step-by-step explanation:

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.