Let be the terms of a sequence and let Case I: If are in A.P., then is quadratic in ‘’. If are in A.P., then is cubic in Case II: If are not in A.P., but in G.P., then , where is the common ratio of the G.P. and Again, ifare not in G.P. but are in G.P., then is of form and is the common ratio of the G.P. and |
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The sum of 20 terms of the series is |
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a) |
4010 |
b) |
3860 |
c) |
4240 |
d) |
None of these |
Let be the terms of a sequence and let Case I: If are in A.P., then is quadratic in ‘’. If are in A.P., then is cubic in Case II: If are not in A.P., but in G.P., then , where is the common ratio of the G.P. and Again, ifare not in G.P. but are in G.P., then is of form and is the common ratio of the G.P. and |
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The sum of 20 terms of the series is |
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|
a) |
4010 |
b) |
3860 |
c) |
4240 |
d) |
None of these |
(c)
Clearly here the differences between the successive terms are
i.e…4, 7, 10, … which are in A.P.
Thus, we have
Solving, we get . Hence,
=4240