Jinsi ya kukokotoa Arithmetic Sequence

Arithmetic Sequence ni nini?

An arithmetic sequence is a list of numbers where consecutive terms differ by a constant value called the common difference (d). Examples include: 2, 5, 8, 11... (d=3) or 10, 7, 4, 1... (d=−3).

Fomula

nth term: aₙ = a₁ + (n−1) × d

Mwongozo wa Hatua kwa Hatua

1nth term: aₙ = a₁ + (n−1) × d
2Sum of n terms: Sₙ = n/2 × (2a₁ + (n−1)d) = n/2 × (first + last)
3If you know any two terms and their positions, you can find d

Mifano Iliyotatuliwa

Ingizo

First term 3, difference 4, find 10th term

Matokeo

a₁₀ = 3 + 9×4 = 39

3, 7, 11, 15, 19, 23, 27, 31, 35, 39

Ingizo

Sum of first 100 natural numbers

Matokeo

5,050

a₁=1, d=1, S₁₀₀ = 100/2 × (1+100) = 5,050

Maswali yanayoulizwa mara kwa mara

What is Arithmetic Sequence?

An arithmetic sequence is a list of numbers where consecutive terms differ by a constant value called the common difference (d). Examples include: 2, 5, 8, 11

How accurate is the Arithmetic Sequence calculator?

The calculator uses the standard published formula for arithmetic sequence. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Arithmetic Sequence calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Arithmetic Sequence calculator use?

The core formula is: nth term: aₙ = a₁ + (n−1) × d. Each step in the calculation is shown so you can verify the result manually.

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