Question

If the number pattern below is extended in which row would 2010 be
1
2 3
4 5 6
7 8 9 10
11 12 13 14 15

​

Answer 1

Hey hey just hey hey hey

Answer 2

Question :- If the number pattern below is extended in which row would 2010 be ?

1

2 3

4 5 6

7 8 9 10

11 12 13 14 15

Solution :-

Lets see the pattern here,

→ First row = 1 number = 1

→ second row = 2 no. = upto 3 = 1 + 2

→ third row = 3 no. = upto 6 = 1 + 2 + 3

→ fourth row = 4 no. = upto 10 = 1 + 2 + 3 + 4

→ fifth row = 5 no..= upto 15 = 1 + 2 + 3 + 4 + 5

__________

we know that, sum of n terms of natural numbers is

• n(n + 1)/2 .

So, we can conclude that, we have to find which rows makes the sum equal to 2010.

A/q,

Lets check , sum of 60th terms = last number of series .

→ last number of 60th row = (60 * 61) /2 = 30 * 61 = 1830.

Than,

→ in 61th rows last term will be = 1830 + 61 = 1891.

→ in 62th rows last term will be = 1891 + 62 = 1953.

→ in 63th rows last term will be = 1953 + 63 = 2016.

we have to tell 2010 would be in which rows..

Hence, we can conclude that , 2010 will be on 63th rows.