Chapter 8
Predicting What Comes Next: Exploring Sequences and Progressions
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

Can you use this formula to find S20S_{20}, S50S_{50} or S1000S_{1000}?                                                                                                       [Page No. 185]

Answer: Verified

Yes. Using Sn=n(n+1)2S_n = \frac{n(n+1)}{2} for the sum of the first nn natural numbers:

S20=20×212=4202=210S_{20} = \frac{20 \times 21}{2} = \frac{420}{2} = 210

S50=50×512=25502=1275S_{50} = \frac{50 \times 51}{2} = \frac{2550}{2} = 1275

S1000=1000×10012=10010002=500500S_{1000} = \frac{1000 \times 1001}{2} = \frac{1001000}{2} = 500500

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