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Arithmetic Progressions

Question
CBSEENMA10007505

 In the following APs, find the missing terms in the boxes.

2. space square. space 26 space


Solution

 Let the common difference of the given A .P. be d. Then,
Third term = 2 + d + d= 2 + 2d According to the question,
         2 + 2d = 26
rightwards double arrow space space space space space2d = 26 - 2
rightwards double arrow    2d = 24
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So, second term = 2 + d = 2 + 12 = 14.
Hence, the missing termed in the box 14.