Question

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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.

Answer 1

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