Consider the finite series 3, 6, 12, 24, 48, , 192
MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
Consider the finite series
3, 6, 12, 24, 48, \dots , 192.
Answer the following.
(i) What type of progression do these terms form? State the constant that characterises this progression.
(ii) Write the entire series in summation form using the symbol ∑ with index k starting from 0 and ending at the appropriate upper limit.
(iii) Explain how the general term you have written generates every term of the given series, thereby justifying that your summation correctly represents the series.