To prove that the sum of (m+n) terms of an arithmetic progression (AP) is zero, given that the sum of m terms is equal to the sum of n terms, we can follow these steps: Step 1: Write the formula for the sum of the first m terms of an AP.The sum Sm of the first m terms...
if the sum of m terms of an A.P.is to the sum of n terms as m2 to n2 show that the mth term is to the nth term as 2m−1 to2n−1 View Solution If the sum of m terms of an AP is the same as the sum of its n terms , show that the sum of its (m+n) terms is...
百度试题 结果1 题目 If the sum of first n terms of an AP is An+Bn^2 where A and B are constants, the common difference of AP will be ( ) A. A+B B. A − B C. 2A D. 2B 相关知识点: 试题来源: 解析 D 反馈 收藏 ...
Now let us find the sum of n terms of the given series. We know that sum of n terms of an Arithmetic Progression (AP) is defined as ${{S}_{n}}=\dfrac{n}{2}\times \left( a+{{T}_{n}} \right)$.So, we have sum of n terms of the given s...
【题目】T he sum of the third and the seventh termsof an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP. 相关知识点: 试题来源: 解析 【解析】Solution: From the given statements, we canwrite,Anda3×a7=8 ...()By the nth term formula,an=a+(n-1...
If the sum of first m terms of an AP be n and the sum of its first n terms be m then show that the sum of its first (m+n) terms is −(m+n). Solution Verified by Toppr Let a be the first term and d be the common difference of the given AP. Then, Sn=n2[2a+(n...
Q. The fourth term of an A.P. is 11 and the eighth term exceeds twice the fourth term by 5. Find the A.P. and the sum of first 50 terms. View More Related Videos Formula for Sum of N Terms of an AP MATHEMATICS Watch in App Explore more Formula for Sum of n Terms of a...
The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the A.P.
We read every piece of feedback, and take your input very seriously. Include my email address so I can be contacted Cancel Submit feedback Saved searches Use saved searches to filter your results more quickly Cancel Create saved search Sign in Sign up Reseting focus {...
We read every piece of feedback, and take your input very seriously. Include my email address so I can be contacted Cancel Submit feedback Saved searches Use saved searches to filter your results more quickly Cancel Create saved search Sign in Sign up Reseting focus {...