Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
`        Pth and qth terms of an A.P are a and b respectively, prove that the sum of (p+q) terms of the series is P+q/2 {a+b+a-b/p-q}. `
2 years ago

```							Dear Pavan i) Let the first term of the AP be 'c' and its common difference be 'd'. ii) So its pth term is: c + (p - 1)d = a ------ (1) and its qth term is: c + (q - 1)d = b ----- (2) Adding (1) & (2): 2c + (p + q - 2)d = a + b ==> 2c + (p + q - 1)d - d = a + b ==> 2c + (p + q - 1)d = (a + b) + d ---------- (3) iii) Operating (1) - (2): (p - q)d = (a - b) ==> d = (a - b)/(p - q) --------- (4) iv) Sum to (p + q) terms is: S₍p+q₎ = {(p + q)/2}*{2c + (p + q - 1)d} Substituting from (3) and (4), we get S₍p+q₎ = {(p + q)/2}*{(a + b) + (a - b)/(p - q)} ---- [Proved] RegardsArun (askIITians forum expert)
```
2 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »  ### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

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