The sum of the first (10) terms of an arithmetic progression is (145), and the sum of the first (5) terms is (45). What is the sum of the (6)th to (10)th terms?
Answer and explanation
Correct answer: 100
The sum of the first 10 terms includes the sum of the first 5 terms. Therefore, the sum of the 6th to 10th terms is 145 - 45 = 100. Obtaining 95 would result from an incorrect subtraction. Exam tip: To find the sum of a consecutive block of terms, subtract the smaller partial sum from the larger partial sum.
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What is the correct answer to this question?
100
Why is this the correct answer?
The sum of the first 10 terms includes the sum of the first 5 terms. Therefore, the sum of the 6th to 10th terms is 145 - 45 = 100. Obtaining 95 would result from an incorrect subtraction. Exam tip: To find the sum of a consecutive block of terms, subtract the smaller partial sum from the larger partial sum.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the sum of the first $n$ terms of an AP.
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