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Mathematics

Finding the sum of the first $n$ terms of an AP

समांतर श्रेणी के प्रथम n पदों का योग ज्ञात करना

In this Class 10 Mathematics topic from Arithmetic Progressions (AP), students learn how to find the sum of the first n terms of an arithmetic progression. They identify the first term, common difference, and number of terms, then apply the formulas Sₙ = n/2 [2a + (n−1)d] and Sₙ = n/2(a + l) when the last term is known. Examples help learners solve numerical problems, verify results, and understand the pattern behind sums in an AP.

Practice questions

In an arithmetic progression, S₂₀ = 1160 and t₁₀ = 56. What is t₁₁?In an arithmetic progression (S_{10}=0) and (S_{20}=600). What is the first term?In an arithmetic progression (t_9=36). What is the sum of the first (17) terms?The sum of the first 24 terms of the arithmetic progression x, x+5, x+10, ... is 1788. What is x?What is the sum of numbers between (50) and (250) that are divisible by (4) but not divisible by (8)?