Question

Write a recursive formula for each sequence. 1 4 16 64 3. Ts. 75.375 Oa. a = 5,0 = -1,722 Ob, a = 1, 2, 4-1, 122 Oc. a = 1, 2, 3,622 Od. a, a, a, = an-1-4,022

Answer 1

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Here, we want to write a recursive formula for the given sequence

As we can see from the sequence, the first term of the sequence is 1/3

Now, looking at the sequence, if we multiplied the previous term by 4/5, we will get the next term

We obtained this by seeing that the common ratio is 4/5

Now, we want to get the recursive formula

As stated above, we multiply the previous term by 4/5 to get the next term

Thus, we have the recursive formula as;

$a_n\text{ = }\frac{4}{5}a_{n-1}\text{ where n}\ge2$