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

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.

so, converting firstly the mixed fractions to improper fractions and then "adding".