Question

10. Consider the following number pattern:
1 + 3 = 4 = 2 = (1 + 1)?
1 + 3 + 5 = 9 = 3 = (2 + 1)?
1 + 3 + 5 + 7 = 16 = 4 = (3 + 1)?
1 + 3 + 5 + 7 + 9 = 25 = 52 = (4 + 1)?
:
1 + 3 + 5 + 7 + ... + a = b = c+= (d + 1)?
:
(i) Write down the 5th line in the pattern.
(ii) Given that b = 169, find the values of a, cand d.​

Answer 1

Answer:

1 + 3 + 5 + 7 + ... + 11 = 36 = $6^{2}$ = (5 + 1)?

b = 169

a = 25

c = 13

d = 4

Explanation: