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2 years ago

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

Mathematics

1 answer:

masya89 [10]2 years ago

6 0

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

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

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