Expert Mathematics Arithmetic Progressions (AP) Class 10 Level 66

एक AP में \(a_{10}+a_{30}=500\) और \(a_{18}+a_{38}=820\) है। \(a_{58}\) क्या होगा?

In an AP \(a_{10}+a_{30}=500\) and \(a_{18}+a_{38}=820\). What is \(a_{58}\)?

Explanation opens after your attempt
Correct Answer

D. (1130)

Step 1

Concept

The first sum gives (2a+38d=500) and the second gives (2a+54d=820). (d=20) and \(a_{58}=1130\).

Step 2

Why this answer is correct

The correct answer is D. (1130). The first sum gives (2a+38d=500) and the second gives (2a+54d=820). (d=20) and \(a_{58}=1130\).

Step 3

Exam Tip

पहले योग से (2a+38d=500) और दूसरे से (2a+54d=820)। (d=20) और \(a_{58}=1130\)।

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Mathematics Answer, Explanation and Revision Hints

एक AP में \(a_{10}+a_{30}=500\) और \(a_{18}+a_{38}=820\) है। \(a_{58}\) क्या होगा? / In an AP \(a_{10}+a_{30}=500\) and \(a_{18}+a_{38}=820\). What is \(a_{58}\)?

Correct Answer: D. (1130). Explanation: पहले योग से (2a+38d=500) और दूसरे से (2a+54d=820)। (d=20) और \(a_{58}=1130\)। / The first sum gives (2a+38d=500) and the second gives (2a+54d=820). (d=20) and \(a_{58}=1130\).

Which concept should I revise for this Mathematics MCQ?

The first sum gives (2a+38d=500) and the second gives (2a+54d=820). (d=20) and \(a_{58}=1130\).

What exam hint can help solve this Mathematics question?

पहले योग से (2a+38d=500) और दूसरे से (2a+54d=820)। (d=20) और \(a_{58}=1130\)।

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