MATH SOLVE

4 months ago

Q:
# Drag the tiles to the correct boxes to complete the pairs. Not all tiles are used.Match each verbal description of a sequence with its appropriate explicit function. Please help ASAP!

Accepted Solution

A:

Answer:a) aₙ = 4.(2)^n-1b) aₙ = 2+3(n-1)c) aₙ = 3+4(n-1)d) aₙ = 3.(4)^n-1Step-by-step explanation:a) a geometric sequence with first term of 4 and a common ratio of 2aₙ = ar^n-1where a is the first term and r is the common ratioaₙ = 4.(2)^n-1Comparing with the standard form:1st term = 4Common ratio = 2b) an arithmetic sequence with a first term of 2 and a common difference of 3The standard form of arithmetic sequence is: aₙ = a₁ + d(n-1)where a₁ is the first term and d is the common differenceGiven: aₙ = 2+3(n-1)Comparing with standard equationFirst term = 2Common difference = 3c) an arithmetic sequence with a first term of 3 and a common difference of 4The standard form of arithmetic sequence is: aₙ = a₁ + d(n-1)where a₁ is the first term and d is the common differenceGiven: aₙ = 3+4(n-1)Comparing with standard equationFirst term = 2Common difference = 3d) a geometric sequence with first term of 3 and a common ratio of 4aₙ = ar^n-1where a is the first term and r is the common ratioaₙ = 3.(4)^n-1Comparing with the standard form:1st term = 3Common ratio = 4