Answer:
Below
Step-by-step explanation:
A geometric sequence is a sequence where you keep multiplying a term by the ratio to generate the next one.
The first term is 3/4
Let n0 = 3/4
The next term is n1.
To get n1 we must multiply n0 by the ratio 4.
● n1 = n0×4
This formula gives us the second term. We need a general one that can generate all the terms of the sequence.
Let S(n) be a term of this sequence.
To get n we have multiplied n0 (the first term) by 4 (the ratio) one or many times. Precisely, n times.
So:
● S(n )= n0 ×4^n
no is 3/4
● S(n)= (3/4) × 4^n
This formula generates any term from this geometric sequence. If you want to calculate the 77th term then just replace n with 77.
