To convert the recursive form
It appears that the terms are multiplying by 2 each time. Let's notice the pattern:
From this, we can conclude that in general:
So the explicit form of the sequence is:
Therefore, the correct response is:
Convert the recursive form a1=5, an=2an−1a1=5, an=2an−1 to the explicit form. (1 point) Responses an=3(7)nan=3(7)nA sub n is equal to 3 times 7 to the n th power an=5(2)n+1an=5(2)n+1A sub n is equal to 5 times 2 raised to the n plus 1 power an=5(2)n−1an=5(2)n−1A sub n is equal to 5 times 2 raised to the n minus 1 power an=2(5)n−1
1 answer
To convert the recursive form
It appears that the terms are multiplying by 2 each time. Let's notice the pattern:
From this, we can conclude that in general:
So the explicit form of the sequence is:
Therefore, the correct response is: