Question

Find the sum of the sequence, 8, 88, 888, …. to terms.

Answer 1

Hint:

9*0 + 8 = 8;

9*9 + 7 = 88;

98*9 + 6 = 888;

987*9 + 5 = 8888;

9876*9 + 4 = 88888;

98765*9 + 3 = 888888;

987654*9 + 2 = 8888888;

9876543*9 + 1 = 88888888;

98765432*9 + 0 = 888888888;

987654321*9 - 1 = 8888888888;

9876543210*9 - 2 = 88888888888;