Arithmetic and Geometric Sequences

Front

7th term of the geometric sequence: a_n = -3(2)^n-1

Back

-192

Front

A sequence is defined by the recursive rule: a₁ = -4, aₙ = aₙ₋₁ + 5. What is the seventh term of the sequence?

Back

26

Front

Distance fallen by penny during the 5th second using a₁=16, a_n=a_n-1+32.

Back

144

Front

Number of visitors to an art museum increased by 25% each month. Recursive rule: a₁= 1,024, aₙ= 1.25ⁿ⁻¹. How many people visited during the 5th month?

Back

2,500

Front

First three terms of an arithmetic sequence: 3, 11, 19. Which function represents the sequence? Options: a_n = 8 + 3(n-1), a_n = 8(3)^n-1, a_n = 3 + 8(n-1), a_n = 3 + 8n

Back

a_n = 3 + 8(n-1)

Front

A geometric sequence has as its first three terms 48, 12, and 3. Which function represents the sequence? Options: a_n = 48(1/4)^n-1, a_n = 48 - (n-1)36, a_n = 48(4)^n-1, a_n = 3(4)^n-1

Back

a_n = 48(1/4)^n-1

Front

A plumber charges $55 for 1 hour of work, $90 for 2 hours, and $125 for 3 hours. Which function represents the sequence of hourly charges? Options: a_n = 55 + 35n, a_n = 55(35)^n-1, a_n = 35 + (n-1)55, a_n = 55 + (n-1)35

Back

a_n = 55 + (n-1)35

Front

The fourth, fifth, and sixth terms of an arithmetic sequence are 56, 49, and 42. Which function represents the sequence? Options: a_n = 56 - 7(n-1), a_n = 42 + 7(n-1), a_n = 77 - 7(n-1), a_n = 42(7)^n-1

Back

a_n = 77 - 7(n-1)

Front

An arithmetic sequence has a₁=2 and d=4. What is the Explicit Rule for a_n and use it to find the 20^th term.

Back

a_n = 2 + 4(n-1) a₂₀ = 78

Front

A geometric sequence has a₁ = 3 and r = 2. What is the Explicit Rule for a_n and use it to find the 10th term.

Back

a_n = 3(2)^n-1, a₁₀ = 1536