Question

How many consecutive odd numbers will be needed to obtain the sum as 10³?

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Consider the following list:

3+5=8=2³

7+9+11=27=3³

13+ 15 +17+19=64=4³ 21+23+25+27 +29=125=5³

31+33 +35+37+39+41=216=6³

Following this pattern, if we want 10³, there are 10 terms in the list. The first term of the series start as

n²-n+1=10²-10+1=100-10+1=91 Thus, the exquation is

91 +93 +95 +97 +99+101 + 103 +105 + 107 + 109 = 10³ So, there are 10 possible consecutive odd numbers sum upto 1000.

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