lyla2571 lyla2571
  • 15-03-2021
  • Mathematics
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Determine the number of terms n :

a 1 = 15, a n = 79, S n = 423

Respuesta :

DarlinEsteves
DarlinEsteves DarlinEsteves
  • 15-03-2021

Answer:

The number of terms in the sequence is 9

Step-by-step explanation:

We want to get the number of terms

Mathematically, we have the formula for the sum of terms in an arithmetic sequence as

[tex]sn = \frac{n}{2} (a + 1)[/tex]

a represents the first terms, and i represent the last term

[tex]423 = \frac{n}{2} (15 + 79) \\ \\ 423 \times 2 = 94(n) \\ \\ 94n = 846 \\ \\ n = \frac{846}{94} \\ \\ n = 9[/tex]

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