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`        Prove that m^r can be expressed as sum of m consecutive odd integers. Find the first odd integer in case of 8^5. m and r are natural numbers where r>1.`
2 years ago

mycroft holmes
272 Points
```							mr = (2a-1)+....+(2b-1) = b2- (a-1)2 = [b-(a-1)][b+a-1] = mr We are given that b-(a-1) = m which means b+(a-1) = mr-1 So choose a such that a = m(mr-2-1)/2 + 1 and b = m(mr-2+1)/2 In case of 85 it is 2045
```
2 years ago
GAGANDEEP SINGH
46 Points
```							Yeah solved it a little later. Thanks for sparing for valuable time on this. But your answer to 8^5 is wrong. This was a question in Sequences and Series.
```
2 years ago
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### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions