The nth term is (36 - 4n)
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
8 + 4n
The nth term of the sequence is expressed by the formula 8n - 4.
The 'n'th term is [ 13 + 5n ].
The 'n'th term is [ 13 + 5n ].
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
8 + 4n
The given sequence (7, 14, 21, 28, 35,....) is an arithmetic sequence where each term increases by 7. The nth term of the given sequence is 7n
The nth term of the sequence is expressed by the formula 8n - 4.
nth term is n squared plus three
The 'n'th term is [ 13 + 5n ].
The 'n'th term is [ 13 + 5n ].
The 'n'th term is [ 13 + 5n ].
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The sequence 3, 8, 13, 18, 23, 28 increases by 5 each time. This indicates a linear pattern. The nth term can be expressed as ( a_n = 3 + 5(n - 1) ), which simplifies to ( a_n = 5n - 2 ). Thus, the nth term of the sequence is ( 5n - 2 ).
The given sequence is 12, 20, 28, 36, 44. To find the nth term, observe that the difference between consecutive terms is consistently 8. Therefore, we can express the nth term as ( a_n = 12 + 8(n - 1) ), which simplifies to ( a_n = 8n + 4 ). Thus, the nth term of the sequence is ( a_n = 8n + 4 ).
To find the nth term of the sequence 4, 10, 18, 28, 40, we first identify the pattern in the differences between consecutive terms: 6, 8, 10, and 12. The second differences are constant at 2, indicating a quadratic sequence. The nth term can be expressed as ( a_n = n^2 + n + 2 ). Thus, the nth term of the sequence is ( n^2 + n + 2 ).