This recursive formula represents a geometric sequence: a1 = 2 an = 6(an − 1); for n ≥ 2 Select the geometric sequence that can be constructed from the given recursive formula, and select the explicit formula for the sequence.

f(n)=2X6ⁿ⁻¹

Step-by-step explanation:

a₁=2

aₙ=6aₙ₋₁ for n≥2

a₂=6a₂₋₁=6a₁=6*2=12

a₃=6a₃₋₁=6a₂=6*12=72

a₄=6a₄₋₁=6a₃=6*72=432

This is a geometric sequence with:

First term, a=2

Common ratio, r= 12/2=6

For a geometric sequence, the nth term is given by:

Uₙ=arⁿ⁻¹

Uₙ=2X6ⁿ⁻¹

Therefore, the explicit formula for the sequence f(n) is given as:

f(n)=2X6ⁿ⁻¹

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

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