Question

Find the 7th term in the sequence -10,-6,-2,2

Answer 1

Hello!

Answer:

`\Large \boxed{\sf 7st~term =14}`

Explanation:

We notice that we add 4 between each term.

`\sf 1st~term = -10 \\\\2nd~term = -10+ 4 = -6\\\\3rd~term =-6 + 4 = -2\\\\4st~term= -2 + 4 = 2\\\\5st~term =2 + 4 = 6\\\\6st~term =6 + 4 = 10\\\\\boxed{\sf 7st~term =10+4=14}`

Answer 2

To find the 7th term in the sequence, we can observe that the difference between consecutive terms is 4. Therefore, we can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

Where a_n represents the nth term, a_1 represents the first term, and d represents the common difference.

In this case, the first term (a_1) is -10, and the common difference (d) is 4.

a_7 = -10 + (7-1)4

= -10 + 6(4)

= -10 + 24

= 14

Therefore, the 7th term in the sequence is 14.