kimtaenzin
kimtaenzin kimtaenzin
  • 02-03-2020
  • Mathematics
contestada

the 5th term of an AP is 11 and the 9th term is 7. Find the 16th term

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Respuesta :

PollyP52 PollyP52
  • 02-03-2020

Answer:

16th term is 0.

S1ep-by-step explanation:

5th term = a1 + d(5 - 1) = 11    where a1 = first term and d = common difference

9th term = a1 +d(9 - 1) = 7    where a1 = first term and d = common difference.

a1 + 4d = 11

a1 + 8d = 7

Subtracting:

4d - 8d = 11-7

-4d = 4

d = -1.

So a1 = 11 - 4(-1) = 15.

16th term = 15 - 1(16-1)

= 15 - 15

= 0.

Answer Link
sjones75
sjones75 sjones75
  • 02-03-2020

Answer:

0

Step-by-step explanation:

subtract 11 by 7, you will get 4. Keep on subtracting by 1 to get to 0.

Answer Link

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