Find the 70th term of the arithmetic sequence 29, 17, 5, ...

Answer: - 799

Step-by-step explanation:

The term of a sequence

Tn = a + (n - 1) d where a = first term, n = the number of terms and d = the common difference.

From the Arithmetic Sequence, a = 29, n = 70 while d = 17 - 29 = - 12

To calculate d, always deduct the first term from the second term and so on.

Now substitute for the values in the formula to find the 70th term

T (70) = 29 + (70 - 1) x - 12

= 29 + 69 x - 12

= 29 - 828

= - 799.

Therefore the 70th term of the sequence

= - 799