Mathematics - Sequence & Series Question with Solution | TestHub
MathematicsSequence & SeriesG.P.Medium2 minQB
MathematicsMediumsingle choice
Statement 1: The sequences and are G.P.s; their termwise sum 5,10,20,40,... is also a G.P. Statement 2: The termwise sum of any two G.P.s with the same common ratio r is always a G.P. with ratio r. For these statements, a G.P. must have nonzero terms.
Options:
Answer:
C
Solution:
Statement 1 is true. Statement 2, without a nonzero-sum condition, fails under the usual definition that a G.P. has nonzero terms: 2,4,8,... plus -2,-4,-8,... gives an all-zero sequence. The unrestricted same-ratio claim therefore fails.
Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:G.P.
⏱ 2mℹ️ Source: QB
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