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Write a recursive formula for the sequence 15, 26, 48, 92, 180, ... Then find the next term

User Recursive
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2 Answers

3 votes

Final answer:

The recursive formula for the given sequence is an = an-1 + 11. The next term of the sequence is 191.

Step-by-step explanation:

The given sequence is 15, 26, 48, 92, 180, ... To find the recursive formula for this sequence, we need to analyze the pattern of the sequence. The difference between consecutive terms is increasing by 11 each time. So, we can write the recursive formula as:

an = an-1 + 11

where an represents the nth term of the sequence. Now, to find the next term, we need to substitute the value of n and calculate:

a6 = a5 + 11
a6 = 180 + 11
a6 = 191

User Walkman
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7.3k points
1 vote
A(k)=2(k-1)-4
The parenthesis mean that it is subscript

the next term is
2(180)-4=356
User Jros
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