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To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by consecutive odd numbers: 10, 14, 18, 22, and so on. To find the nth term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this sequence, a_1 = 6 and the common difference is 10. Therefore, the nth term can be expressed as a_n = 6 + (n-1)10.
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Devin
ReneOh, what a delightful sequence you have there! To find the nth term, we first need to identify the pattern. It looks like the differences between consecutive terms are increasing by 4 each time. So, the nth term can be calculated using the formula: nth term = 2n^2 + 2. Happy calculating, my friend!
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What is the nth term if the sequence goes 12 21 30 39 48?
Looks like 57: 12+9=21, +9=30, +9=39, +9=48, +9=57.
What is the formula for the nth term in the sequence 3 6 12 24 48 96 192?
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
What is the formula for the nth term in the sequence 3 6 12 24 48 96 192 384?
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
What is the formula for the nth Term of these sequences -3 8 25 48?
Sn = 3n2 + 2n - 8
The nth term for 16 24 32 40 48?
We note the sequence goes up in steps of '8' Hence '8n'. Next for step #1 4#1 ; n = 1 ; 8(1) + c = 16 8 + c = 16 c = 8 Hence the nth terms is 8n + 8 Verifications When n = 3 ; 8(3) + 8 = 24 + 8 = 32 ( which is true).
