what is the 35th term of 5+11+17.....?
looks like an arithmetic sequence with a=5, d=6
term(35) = a + 34d = 5 + 34(6) = 209
Term(35) 3,11,19...
To find the 35th term of the series 5+11+17+... (where each term is obtained by adding 6 to the previous term), we can use the formula for the nth term of an arithmetic sequence:
tn = a + (n - 1) * d
In this formula, tn represents the nth term, a represents the first term, n represents the term number, and d represents the common difference between terms.
In the given series, the first term (a) is 5, and the common difference (d) is 6.
Plugging these values into the formula:
t35 = 5 + (35 - 1) * 6
= 5 + 34 * 6
= 5 + 204
= 209
Therefore, the 35th term of the series 5+11+17+... is 209.
To find the 35th term of the sequence 5, 11, 17, ..., we need to determine the pattern and then apply it to find the specific term.
Looking at the given sequence, we notice that each term is obtained by adding 6 to the previous term. So, the pattern for this sequence is an arithmetic progression with a common difference of 6.
We can use the general formula for an arithmetic progression to find the nth term:
nth term = first term + (n - 1) * common difference
In this case, the first term is 5, the common difference is 6, and we want to find the 35th term. Plugging these values into the formula:
35th term = 5 + (35 - 1) * 6
= 5 + 34 * 6
= 5 + 204
= 209
Therefore, the 35th term of the sequence is 209.