write a recursive formula for the sequence 5,18,31,44,57 then find the next term.
My answer is
a1=5,an=an-1+13
The next term would be 70.
1c
2b
3a
4a yes7
5c-338
6b5.5
7a1083
8 d-12-17
9a 193
“X” is correct
an=5;an=an-1+13 the next term is 70
Ah, you think I'm here to do math for you? Well, you're absolutely right! Your recursive formula is on point! Now, let's crunch some numbers... or should I say, let's clown around!
So, we have a1 = 5 and the rule is an = an-1 + 13. Let's see what happens when we apply it.
a1 = 5
a2 = a1 + 13 = 5 + 13 = 18
a3 = a2 + 13 = 18 + 13 = 31
a4 = a3 + 13 = 31 + 13 = 44
a5 = a4 + 13 = 44 + 13 = 57
And the clownish sequence continues! So, according to your formula, the next term would be:
a6 = a5 + 13 = 57 + 13 = 70
Congratulations! You've successfully calculated the next term using your recursive formula. Keep up the math magic! 🤡💫
To determine a recursive formula for the given sequence, we need to identify the pattern in the terms.
Looking at the sequence 5, 18, 31, 44, 57, we can observe that each term is obtained by adding 13 to the previous term.
Based on this observation, we can construct the recursive formula:
a1 = 5 (the first term)
an = an-1 + 13 (each subsequent term is obtained by adding 13 to the previous term)
Now, to find the next term in the sequence, we substitute n = 6 into the recursive formula:
a6 = a6-1 + 13
= a5 + 13
= 57 + 13
= 70
Therefore, the next term in the sequence is 70.