Question

Find the 50th term of the sequence
10,7,4,1,-2

Answer 1

To find the 50th term of the given sequence, we need to determine the pattern or rule governing the sequence. In this case, it appears that the sequence is decreasing by 3 with each term.

Starting from the first term, 10, and subtracting 3 successively, we can calculate the terms:

10, 7, 4, 1, -2, -5, -8, ...

We can observe that the sequence is formed by subtracting 3 from the previous term.

To find the 50th term, we can apply the pattern to the first term:

10 - (3 * (50 - 1))

Calculating the expression:

10 - (3 * 49) = 10 - 147 = -137

Therefore, the 50th term of the sequence is -137.

Answer 2

To find the 50th term of the sequence, we need to determine the pattern or rule governing the sequence. Looking at the given terms, we can observe that each term is obtained by subtracting 3 from the previous term.

Starting with the first term, 10, we can calculate the subsequent terms by subtracting 3 each time:
10, 7, 4, 1, -2, ...

To find the 50th term, we can use the formula for an arithmetic sequence:

nth term = first term + (n - 1) * common difference

In this case, the first term is 10, the common difference is -3 (since we are subtracting 3 each time), and we want to find the 50th term (n = 50).

50th term = 10 + (50 - 1) * (-3)
= 10 + 49 * (-3)
= 10 - 147
= -137

Therefore, the 50th term of the sequence is -137.