for the sequence:1,6,11,16,...,the 50th term would be:
term 2 = term 1 + 5
term 3 = term 1 + 2*5
term 4 = term 1 + 3*5
term 5 = term 1 + 4*5
term 50 = term 1 + 49*5 = 1 + 245 = 246
To find the 50th term in the sequence 1, 6, 11, 16, ..., we can observe that the sequence increases by 5 each time. So, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n-1) * common difference
In this case, the first term (a) is 1, the common difference (d) is 5, and we want to find the 50th term (n). Plugging in the values into the formula:
50th term = 1 + (50-1) * 5
Simplifying:
50th term = 1 + 49 * 5
50th term = 1 + 245
50th term = 246
Therefore, the 50th term in the sequence is 246.
To find the 50th term in the sequence 1, 6, 11, 16,..., we need to determine the pattern or rule governing the sequence.
In this case, we can observe that each term in the sequence increases by 5. So, the difference between each term is constant.
We can represent the nth term of the sequence as a formula:
nth term = first term + (n - 1) * common difference
In our sequence, the first term is 1 and the common difference is 5. Plugging these values into the formula, we can find the 50th term:
50th term = 1 + (50 - 1) * 5
= 1 + 49 * 5
= 1 + 245
= 246
Therefore, the 50th term in the sequence is 246.