We appreciate your visit to The sum of the first four terms of an arithmetic progression AP is 30 and the sum of the last four terms is 66 If. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
2 and 3
Step-by-step explanation:
Given:
- a- first term, d- common difference
- Sum of the first 4 terms: S₁₋₄= 30
- Sum of the last 4 terms: S₄₋₇= 66
S₁₋₄= 4/2(2a+3d)=4a+6d= 30
⇒ 2a+3d=15
S₄₋₇= S₇ - S₃= 7/2(2a+6d)- 3/2(2a+2d)= 7a+21d - 3a - 3d= 4a+18d=66
⇒ 2a+9d= 33
Comparing the 2 equations:
- 2a+3d= 15
- 2a+9d= 33
- 9d-3d= 33-15
- 6d= 18
- d=3
- 2a+3*3=15
- 2a= 6
- a=2
Thanks for taking the time to read The sum of the first four terms of an arithmetic progression AP is 30 and the sum of the last four terms is 66 If. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
