What is the 50th term of the sequence that begins -4, 2, 8, 14

Answer 1

To find the 50th term of the sequence, we first need to determine the pattern of the sequence.

The given sequence starts at -4 and each subsequent term increases by 6. So the common difference is 6.

Now, we can use the formula for the nth term of an arithmetic sequence to find the 50th term:

a_n = a_1 + (n-1)d

where:
a_n = the nth term
a_1 = the first term
n = the term number
d = the common difference

In this case:
a_1 = -4
n = 50
d = 6

a_50 = -4 + (50-1) * 6
a_50 = -4 + 49 * 6
a_50 = -4 + 294
a_50 = 290

So, the 50th term of the sequence is 290.