msmith051105 msmith051105
  • 18-06-2021
  • Mathematics
contestada

What is the 11th term of the sequence 7, -21, 63

Respuesta :

topeadeniran2 topeadeniran2
  • 23-06-2021

Answer: 413343

Step-by-step explanation:

This is a geometric progression. First and foremost, we've to find the common ratio which will be:

= 2nd term / 1st term

= -21/7

= -3

The formula to find the 11th term will be:

= ar^n-1

where,

a = first term = 7

r = common ratio = -3

n = number of terms = 11

Therefore, ar^n-1 = 7 × -3^11-1

= 7 × -3^10

= 7 × 59,049

= 413343

Therefore, the 11th term of the sequence is 413343.

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