What is the rescursive formula for this geometric sequence? 7, -14, 28, -56
2 answers:
What is the recursive rule for a geometric sequence? It is this one:
an = an-1*r(I inserted a pic so you know how it actually looks like)
The sequence is 7, -14, 28, -56
To find r you divide the 2nd term by the first one. Then the third one by the second one. And so on. When you do this you will find that r= -2. All you have to do for the recursive rule is plug in r. So the formula for the sequence is
an = an-1*r(I inserted a pic so you know how it actually looks like)
The sequence is 7, -14, 28, -56
To find r you divide the 2nd term by the first one. Then the third one by the second one. And so on. When you do this you will find that r= -2. All you have to do for the recursive rule is plug in r. So the formula for the sequence is
You might be interested in
ANSWER
EXPLANATION
According to the power property of logarithms:
The given logarithm is
When we apply the power property to this logarithm, we get,