The sequence 1, 4, 7, 10, 12, 16 consists of two interleaved patterns: one increasing by 3 (1, 4, 7, 10) and another increasing by 2 (12, 16). To find the nth term, we can use the formula for the two patterns. For n = 1, 2, 3, 4, the terms follow the formula (3k - 2) for k = 1, 2, 3, 4, while for n = 5 and 6, the terms follow (2k + 10) for k = 0, 1. Thus, the nth term alternates based on whether n is odd or even.
The nth term is equal to 4n.
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It is: -6n+22
Clearly, if you omit the sign, the nth. term will be 4n. The alternating sign can easily be expressed as a power of (-1), so in summary, the nth. term is (-1)n4n.
The Nth term in the series is [ 2N ] .
The nth term is equal to 4n.
The nth term is 3n+7 and so the next number will be 22
The nth term is: 3n+1 and so the next number will be 16
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75988 to the 7th
It is: 3n+1
2n+1
6n+10
It is: -6n+22
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, ...
4 10 16 22 28 34 40 ....... Each term is increased by 6 or nth term = 6n-2
Clearly, if you omit the sign, the nth. term will be 4n. The alternating sign can easily be expressed as a power of (-1), so in summary, the nth. term is (-1)n4n.