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GP n-th term
aₙ = a·rⁿ⁻¹
Where: a = first term / coefficient a, aₙ = n-th term, n = number of terms, r = common ratio
Solved example
Given: a = 7, n = 5, r = 10
Find: a_n (n-th term)
- Formula: aₙ = a·r^(n - 1)
- Substitute the values: aₙ = 10^(5 - 1)·7
- Result: aₙ = 70000
Answer: a_n = 70000
Calculator
How to calculate GP n-th term
- Write down the formula: aₙ = a·rⁿ⁻¹.
- Note the known values (a, n, r).
- Substitute them and simplify to find a_n.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for GP n-th term?
The formula is aₙ = a·rⁿ⁻¹, where a = first term / coefficient a, aₙ = n-th term, n = number of terms, r = common ratio.
What is GP n-th term when a = 7, n = 5, r = 10?
a_n = 70000. Substitute the values into aₙ = a·rⁿ⁻¹ and simplify.