प्रश्नावली - 5.3
![किसी A.P. का प्रथम पद 5, अंतिम पद 45 और योग 400 है/ पदों की संख्या और सार्व अंतर ज्ञात कीजिए/ 636 योग प्राप्त करने के लिए A.P.: 9, 1, 25, ...के कितने पद लेने चाहिए? an n2 (iv) 1/15, 1/12, 1/10, ..., 11 पदों तक Sn = n/2 [2a + (n – 1)d] S10 = 10/2 [2 x 2 + (10 – 1)5] S10 = 5 [4 + (9)5] S10 = 5 [4 + 45] S10 = 5 [49] S10 = 245 समान्तर श्रेढ़ी, Arithmetic Progression समान्तर श्रेढ़ी, समान्तर श्रेणी, समान्तर श्रेणी के सवाल, समान्तर श्रेणी फार्मूला, समान्तर श्रेणी के प्रश्न, समान्तर श्रेणी के सूत्र, समान्तर श्रेणी के सभी सूत्र, समान्तर श्रेणी प्रश्न, समान्तर श्रेणी class 10, समान्तर श्रेणी के पदों का योग, समान्तर श्रेढ़ी, समान्तर श्रेणी pdf, समान्तर श्रेणी class 10, समान्तर श्रेणी के सवाल, समान्तर श्रेणी क्लास १०, समांतर श्रेणी सूत्र, समान्तर श्रेणी in english, समांतर श्रेणी के सवाल, समांतर श्रेढ़ी 10, NCERT Solutions for Mathematics Class 10th, UP Board कक्षा 10 गणित, rkmsb.blogspot.com, NCERT10, class10, कक्षा 10, #rkmschannel, #NCERT10, ranjeet kumar, ranjeetsir, Arithmetic Progression, arithmetic progression in hindi, arithmetic progression formula, arithmetic progression questions, arithmetic progression sum formula, arithmetic progression class 10, arithmetic progression questions class 10, arithmetic progression properties, arithmetic progression examples, arithmetic progression class 11, arithmetic progression definition, What is the arithmetic progression formula?, What is arithmetic progression with example?, How do you find the sum of an arithmetic series?, What is the difference between arithmetic progression and geometric progression?, Who introduced arithmetic progression?, What is the use of arithmetic progression?, What is nth term in arithmetic progression?, How do you find the common difference in arithmetic progression?, What are the types of progression?, What is the formula of sum of AP?, How do you find the sum of a finite arithmetic series?, What is the sum of the first 100 numbers?, What is sum of arithmetic progression?, What are the 4 types of sequence?, What is geometric and arithmetic progression?, Who is the father of maths?, Who is the father of arithmetic?, Who is the Prince of maths?, What is arithmetic progression in simple words?, What are the advantages of arithmetic mean?, What is the formula for finding the nth term?, What is r in GP?, How do you find the nth term of an end?, What is a common ratio?, Can the common difference in an arithmetic sequence be negative?, How do you find out if a number is in an arithmetic sequence?, What is exercise progression?, How do you explain arithmetic progression?, What is arithmetic progression with example?, What is infinite arithmetic progression?, What is the formula of arithmetic series?, Who invented arithmetic progression?, What is nth term in arithmetic progression?, What is arithmetic calculation?, What is the formula for last term of an AP?, How do you find the nth term of an AP end?,](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMQzIYsEaKOSeeO3NiylvPDjlEK6uo6EPOwxoRVInBZLidagV0dXHc5ZfpeH7cuOBbmBrDkOaw0Gfs5NBwndJV2T4vDPpG-fQE215w1i1XbVJdAYI2hvS4uqDbHk1Jb-8p5Jhfcpx_1NjB/s1600/%25E0%25A4%25B8%25E0%25A4%25AE%25E0%25A4%25BE%25E0%25A4%25A8%25E0%25A5%258D%25E0%25A4%25A4%25E0%25A4%25B0+%25E0%25A4%25B6%25E0%25A5%258D%25E0%25A4%25B0%25E0%25A5%2587%25E0%25A4%25A2%25E0%25A4%25BC%25E0%25A5%2580.png "समान्तर श्रेढ़ी") |
| समान्तर श्रेढ़ी |
उत्तर 5-
दिया है :-
a = 5 ,
an= 45,
Sn= 400,
n = ?, d = ?
A.P. का n पदों तक का योग : Sn= n/2[a + an]
400 = n/2[5 + 45]
400 = n/2[50]
400 = n x 25
n = 400/25
n = 16
सूत्र: an= a + (n - 1)d
45 = 5 + (16 - 1)d
45 - 5 = 15d
15d = 40
d = 40/15
d = 8/3
अत: पदों की संख्या 16 और सार्व अंतर 8/3 है/
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