find the 50th term of a sequence 11,15,19,23...
a.203 b.204 c.207 d.211
The nth term of an arithmetic progression derives from
L = a + (n - 1)d where
L = the nth term
a = the first term
d = the comon difference
Therefore, L = 11 + (50 - 1)4 = ?
11,15,19,23,...8th term
To find the 50th term of the sequence 11, 15, 19, 23..., we first need to determine the pattern of the sequence.
Looking at the given sequence, we can observe that each term is obtained by adding 4 to the previous term. So, the pattern is an arithmetic sequence with a common difference of 4.
To find the 50th term, 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 11, the common difference (d) is 4, and we want to find the 50th term (n = 50).
Plugging the values into the formula, we have:
50th term = 11 + (50 - 1) * 4
= 11 + 49 * 4
= 11 + 196
= 207
Therefore, the 50th term of the sequence is 207.
So, the correct answer is c. 207.