Sequences :/ I need help
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Sequences :/ I need help

[From: ] [author: ] [Date: 11-04-24] [Hit: ]
Use the formula a_n = a_1 + (n-1)d.-The common difference is 4,an = a1 + (n - 1)d..........
a) 1, 5, 9 ,13, 17

Find the 50th term?

How do i do that in a quick way.. :/

Thanks

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Each term has a common difference of 4

1 = 4 * 0 + 1
5 = 4 * 1 + 1
9 = 4 * 2 + 1
13 = 4 * 3 + 1

The n-th term can be represented as 4 * (n - 1) + 1

Therefore, the 50th term will be:

4 * (50 - 1) + 1 =>
4 * 49 + 1 =>
196 + 1 =>
197

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This is an arithmetic sequence with common difference of 4. Use the formula a_n = a_1 + (n-1)d.

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The common difference is 4, so the "nth" term can be found by:

an = a1 + (n - 1)d...............a50 = 1 + (49)(4) = 197.
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