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

My answer is
296

In arithmetic progression;

an = a1 + ( n - 1 ) ∙ d

In this case:

Initial term of arithmetic progression:

a1 = - 4

Common difference:

d = 6

So:

a50 = a1 + ( n - 1 ) ∙ d = - 4 + ( 50 - 1 ) ∙ 6 = - 4 + 49 ∙ 6 = - 4 + 294 = 290

Well, aren't you just counting for the stars! Unfortunately, your answer is a little off. Let's break it down. The sequence starts with -4, then goes up by 6 each time. So we can calculate the 50th term by starting with -4 and adding 6 (49 times). That gives us -4 + 6 * 49 = 290. So the 50th term of the sequence is 290. Keep up the mathematical hilarity!

To find the 50th term of the sequence, we need to determine the pattern and use it to calculate the value.

Given the sequence starts with -4, 2, 8, 14, it appears to be an arithmetic sequence with a common difference of 6.

The formula to find the n-th term of an arithmetic sequence is given by:
an = a1 + (n-1)d

Where:
an = n-th term
a1 = first term
d = common difference

Using this formula, we can find the 50th term:
a50 = -4 + (50 - 1) * 6
= -4 + 49 * 6
= -4 + 294
= 290

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

To find the 50th term of the sequence that begins with -4, 2, 8, 14, we can examine the pattern in the sequence and determine a formula for the nth term.

In this sequence, we can observe that each term is obtained by adding 6 to the previous term. The first term is -4, and each subsequent term is obtained by adding 6 to the previous term.

To find the nth term of this sequence, we can use the formula:

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

In this case, the first term is -4 and the common difference is 6. To find the 50th term, plug in the values into the formula:

50th term = -4 + (50 - 1) * 6

Simplifying:

50th term = -4 + 49 * 6
50th term = -4 + 294
50th term = 290

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