Advertisements
Advertisements
प्रश्न
Find the sum of the following series
3 + 6 + 9 + ... + 96
उत्तर
3 + 6 + 9 + ... + 96
= 3(1 + 2 + 3 + ... + 32)
= `3[sum_1^32 "n"]`
= `3[("n"("n" + 1))/2]_("n" = 32)`
= `3[(32(33))/2]`
= 1584
APPEARS IN
संबंधित प्रश्न
Find the sum of the following series
51 + 52 + 53 + ... + 92
Find the sum of the following series
1 + 4 + 9 + 16 + ... + 225
Find the sum of the following series
62 + 72 + 82 + ... + 212
Find the sum of the following series
1 + 3 + 5 + ... + 71
If 1 + 2 + 3 + ... + k = 325, then find 13 + 23 + 33 + ... + k3
If 13 + 23 + 33 + ... + k3 = 44100 then find 1 + 2 + 3 + ... + k
How many terms of the series 13 + 23 + 33 + … should be taken to get the sum 14400?
Find the sum of the series (23 – 13) + (43 – 33) + (63 – 153) + ... to n terms
Find the sum of the series (23 – 13) + (43 – 33) + (63 – 153) + ... to 8 terms
The value of a motorcycle depreciates at a rate of 15% per year. What will be the value of the motorcycle for 3 year hence, which is now purchased for ₹ 45,000?