Sequences and Series
The geometric mean between −9 and −16 is
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Write the first five terms of the sequence and obtain the corresponding series : a1=a2=2,an=an−1−1,n>2.
A fanner buys a used tractor for Rs 12000. He pays Rs 6000 cash and agrees to pay the balance in annual instalments of Rs 500 plus 12% interest on the unpaid amount. How much will the tractor cost him?
Find the sum of n terms of the series whose nth term is: n(n+3)
Find the sum to n terms of the series :1×21+2×31+3×41+˙˙˙
Write the first five terms of the sequence whose nthterms are : an=n(n+2)
Write the first five terms of the sequence whose nthterms are : an=62n−3
If the pth,qthand rthterms of a GP are a, b and c, respectively. Prove that aq−rbr−pcp−q=1.
A mail starts repaying a loan as first instalment of Rs. 100. If he increases the instalment by Rs 5 every month, what amount he will pay in the 30thinstalment?