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n-th term
aₙ = a + (n − 1)d
Where: a = first term / coefficient a, aₙ = n-th term, d = common difference, n = number of terms
Solved example
Given: a = 7, d = 5, n = 10
Find: a_n (n-th term)
- Formula: aₙ = a + d·(n - 1)
- Substitute the values: aₙ = 5·(10 - 1) + 7
- Result: aₙ = 52
Answer: a_n = 52
Calculator
How to calculate n-th term
- Write down the formula: aₙ = a + (n − 1)d.
- Note the known values (a, d, n).
- 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 n-th term?
The formula is aₙ = a + (n − 1)d, where a = first term / coefficient a, aₙ = n-th term, d = common difference, n = number of terms.
What is n-th term when a = 7, d = 5, n = 10?
a_n = 52. Substitute the values into aₙ = a + (n − 1)d and simplify.