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Contact [7]
2 years ago
8

The explicit rule for a sequence is given.

Mathematics
2 answers:
Bogdan [553]2 years ago
8 0

Answer:

a_1=3

a_n = 16 \cdot a_{n-1}

Step-by-step explanation:

The explicit formula for the geometric sequence is given by:

a_n =a_1 \cdot r^{n-1}      ....[1]

where

a_1 is the first term

r is the common ratio of the consecutive terms

n is the number of terms

Given that:

The explicit rule for a sequence is given. by:

a_n =3 \cdot (16)^{n-1}

On comparing with equation [1] we have;

a_1=3 and r = 16

Use the recursive formula for the geometric sequence is:

a_n = r \cdot a_{n-1}

Substitute the given values we have;

a_n = 16 \cdot a_{n-1}

therefore, the recursive rule for the geometric sequence is, a_n = 16 \cdot a_{n-1}

tamaranim1 [39]2 years ago
6 0

a_{1}=3

a_{n}=16a_{n-1}

just use the standart recursive for geometric sequence

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