Answer:
Step-by-step explanation:
The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r
Common ratio = 6/3 = 12/6 = 2
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 3
r = 2
The function, f(n), representing the nth term of the sequence is
f(n) = 3 × 2^(n - 1)
Answer:
82 grams
Step-by-step explanation:
each rubber band weighs 3 grams because when 2 bands were added to 88 grams it went up 6 grams and six divided by 2 equals 3.
Geometric an = ar^(n - 1)
Second term =ar² ⁻ ¹ = ar = 50
Fourth term =ar⁴ ⁻ ¹ = ar³ = 112.5
ar = 50 ..........(a)
<span>ar³ = 112.5......(b)
</span>
Equation (b)/(a)
ar³ / <span>ar = 112.5/50
</span>
r² = 2.25
r = √2.25
r = 1.5
Common ratio = 1.5
for some constant C.
, but that is not the case because
and we can see that
would only be true for C = 0, so that is why