For the arithmetic sequence with given first term 4 and common difference 4:
its nth term is __________
its 10-th term is ________
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a = 4
d = 4
and do you not have a text book ?
Nth term=a+(n-1)d 10 term=4+(10-1)4 10th term =4+(9*4)=4+36=40 10th term =40
To find the nth term of an arithmetic sequence, we can use the formula:
nth term = first term + (n - 1) * common difference
Given that the first term is 4 and the common difference is 4, we can substitute these values into the formula to find the nth term.
1. Substituting the given values into the formula:
nth term = 4 + (n - 1) * 4
2. Simplifying the expression:
nth term = 4 + 4n - 4
nth term = 4n
Therefore, the nth term of the arithmetic sequence is 4n.
To find the 10th term of the arithmetic sequence, we can substitute n = 10 into the formula we just derived.
3. Substituting n = 10 into the formula:
10th term = 4 * 10
10th term = 40
Therefore, the 10th term of the arithmetic sequence is 40.
To find the nth term of an arithmetic sequence, you can use the formula:
nth term = first term + (n - 1) * common difference
In this case, the first term is 4 and the common difference is 4. So, using the formula, we can find:
nth term = 4 + (n - 1) * 4
For the 10th term, we can substitute n = 10 into the formula:
10th term = 4 + (10 - 1) * 4
= 4 + 9 * 4
= 4 + 36
= 40
Therefore, the nth term of the given arithmetic sequence is 4 + (n - 1) * 4, and the 10th term is 40.