Question

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

Answer 1

To find the 70th term of the arithmetic sequence, subtract the terms to find the common difference and then use the formula termn = first term + (n - 1) * d. Substituting the values, the 70th term is -799.

Step-by-step explanation:

The given arithmetic sequence is 29, 17, 5, ...

To find the 70th term of the sequence, we need to find the common difference 'd' first. We can do this by subtracting consecutive terms:

17 - 29 = -12

5 - 17 = -12

Since the common difference is -12, we can find the 70th term using the formula:
termn = first term + (n - 1) * d

term70 = 29 + (70 - 1) * -12

term70 = 29 + 69 * -12

term70 = 29 - 828

term70 = -799

Answer 2

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