egoncalvesfon28 egoncalvesfon28
  • 13-07-2021
  • Mathematics
contestada

Add the first 94 terms of this sequence: 9, 33, 57, 81, 105,

Respuesta :

topeadeniran2 topeadeniran2
  • 18-07-2021

Answer: 105750

Step-by-step explanation:

From the sequence 9, 33, 57, 81, 105, the following can be derived:

a = First term = 9.

d = Common difference = 33 - 9 = 24

n = Number of terms = 94

The sum of the nth term will be:

= n/2[2a + (n – 1)d]

= 94/2 [(2 × 9) + (94 - 1) × 24]

= 47 [18 + (93 × 24)]

= 47[18 + 2232]

= 47 × 2250

= 105750

Therefore, the sum of the 94 terms of the sequence is 105750.

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