thedarkestknight772 thedarkestknight772
  • 19-11-2021
  • Mathematics
contestada

If an arithmetic sequence has terms a5 = 20 and a9 = 32, what is a15?

Respuesta :

topeadeniran2 topeadeniran2
  • 30-11-2021

Based on the information given, it can be deduced that the value of the 15th term is 50.

a + 8d = 32 ..... i

a + 4d = 20 ...... ii

Subtract ii from i

4d = 12

d = 12/4

d = 3

Therefore, a will be:

a + 4d = 20

a + 4(3) = 20

a + 12 = 20

a = 20 - 12 = 8

Therefore, the 15th term will be:

= a + 14d

= 8 + 14(3)

= 8 + 42

= 50

The 15th term is 50.

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