Class XII

Classify the series. 32  n=1 (n–2)2
  1. arithmetic
  2. geometric
  3. both
  4. neither
How many terms of the arithmetic sequence -3, 2, 7, ... must be added together for the sum of the series to be 116?
  1. n=18
  2. n-17
  3. n=8
  4. n=10
A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, and so on in an arithmetic sequence, until the top row has 4 cans. How many cans, in total, are in the display?
  1. There are 108 cans.
  2. There are 180 cans.
  3. There are 100 cans.
  4. There are 103 cans.
Classify the series. 18  n=0 (n+1)2
  1. arithmetic
  2. geometric
  3. both
  4. neither
Insert three geometric means between 1 and 81.
  1. 3,9,27
  2. 2,4,16
  3. 5,25,125
  4. 3,9,28
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