write an equation to decribe the sequence below. use n to represent the position of a term in the sequence, where n=1 for the first term
7,35,175
write your answer using decimals and integers
The equation to describe the sequence would be:
An = 7 × (5^(n-1))
Where An represents the nth term in the sequence and n represents the position of the term.
For example:
When n = 1, A1 = 7 × (5^(1-1)) = 7 × 5^0 = 7 × 1 = 7
When n = 2, A2 = 7 × (5^(2-1)) = 7 × 5^1 = 7 × 5 = 35
When n = 3, A3 = 7 × (5^(3-1)) = 7 × 5^2 = 7 × 25 = 175
Therefore, the equation An = 7 × (5^(n-1)) accurately describes the given sequence.