Q8 of 50 Page 6

Observe a pattern in the following and find the missing numbers:
222
121 = _______
1+2+1
(333)2
12321 =_________
1+2+3+2+1
1234321 =__________
123454321 =__________
12345654321 =__________
1234567654321 =__________
123456787654321=___________
(999999999)2
12345678987654321 = ___________________________________
1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1

222
121 = ______
1+2+1
(333)2
12321 = __________
1+2+3+2+1
(4444)2
1234321 = ______________
1+2+3+4+3+2+1
(55555)2
123454321 = ___________________
1+2+3+4+5+4+3+2+1
(666666)2
12345654321 = ________________________
1+2+3+4+5+6+5+4+3+2+1
(7777777)2
1234567654321 = _____________________________
1+2+3+4+5+6+7+6+5+4+3+2+1
(88888888)2
123456787654321 = _________________________________
1+2+3+4+5+6+7+8+7+6+5+4+3+2+1

More from this chapter

All 50 →
6 Which of the following triplets are Pythagorean?
(i) (1, 2, 3) (ii) (3, 4, 5) (iii) (6, 8, 10)
[We know that the three natural numbers m, n, p are said to be Pythagorean triplets if m2 + n2 = p2.] 7 Which of the following triplets are Pythagorean?
(i) (1, 1, 1) (ii) (2, 2, 3)
[We know that the three natural numbers m, n, p are said to be Pythagorean triplets if m2 + n2 = p2.] 9 Use calculator to find the squares of all natural numbers between 80 and 90. 10 Guess and verify the square root of:
a) 25 b) 64 c) 81 d) 100 e) 169
f) 225 g) 400 h) 4900 i). 39 × 39 j) 320 × 320