Question

Look at the table. Make a conjecture about the sum of the first 10 positive even numbers.

Answer 1

The answer is 10•11, if you look at the pattern, you don't have to solve the addition.

Answer 2

Answer:

The sum of the first 10 positive even numbers is $10\times 11=110$

Step-by-step explanation:

From the table, we see that,

Sum of the numbers $2+4+6+8+10=30=5\times 6=5(5+1)$

That is, when there are 5 terms in the sequence, the sum is given by $5\times 6$.

Then, in general, when there are 'n' terms in the sequence, the sum is given by $n(n+1)$

We are required to find the sum of 10 even terms.

Therefore, when there are 10 terms in the sequence, the sum will be $10(10+1)=10\times 11$

Hence, the sum of the first 10 positive even numbers is $10\times 11=110$