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Look at the table. Make a conjecture about the sum of the first 30 positive even numbers.
The sum is 30 × 30.
The sum is 29 × 30.
The sum is 31 × 32.
The sum is 30 × 31.
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Step-by-step explanation:
2,4,6,8.........
this forms an AP
a=2
d=4-2=2
n=30
Sn=n/2[2a+(n-1)d]
S30= 30/2[4+29(2)]
S30=15(62)
S30=930
:.sum of first 30 even numbers is 930
930=30×31
:.the sum is 30× 31
Hope it will helps you
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