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General Term of an Arithmetic Progression

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CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10

Formula: nth (general) Term

tn= a + (n 1)d

Used when the first term a, common difference d, and term number n are known

l = a + (n − 1)d

CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10

Formula: nth Term from the End

nth term from end = l − (n − 1) d

Can be used only after finding:

  • last term l

  • number of terms

CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10

Formula : Common Difference

Common difference:

d = t2 − t1

Nature of A.P.

  • d > 0→ Increasing

  • d < 0→ Decreasing

  • → Constant

Shaalaa.com | Arithmetic Progression part 5 (Nth term of AP)

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Arithmetic Progression part 5 (Nth term of AP) [00:10:03]
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