Question

17th term of an ap is 7 more than its 10th term and 20th term of the ap is 30 then find the sum of the first 50 terms of the AP

Answer 1

Answer:

100

Step-by-step explanation:

Given:

• a₁₇= a₁₀+7
• a₂₀=30
• S₅₀=?

As per given:

• a₁₇=a+16d
• a₁₀=a+9d
• a+16d=a+9d+7 => 7d=7 => d=1
• a₂₀= a+19d= a+19
• a+19=30 => a=11

Sum of 50 terms:

• Sₙ=1/2n(a+(n-1)d)
• S₅₀=1/2*50(11+49)= 25*60= 1500

Answer: Sum of first 50 terms is 1500

Answer 2

Answer:

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