Sequences and Series
If first three terms of the sequence 1/16,a,b,61 are in geometric series and last three terms are in harmonic series, then find the values of aandb˙
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Find the indicated terms of the sequence whose nthterms are : an=n+3n(n−2); a20
Find the sum to n terms of the series :12+(12+22)+(12+22+32)+˙˙˙
Find the sum of the first 22 terms of the AP : 8,3,-2, . . . .
Fill in the blanks in the following table, given that a is the first term, d the common difference and anthe nth term of the AP:
Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4thby 18.
Find the sum of all numbers between 200 and 400 which are divisible by 7.
Find the 10thterm of the AP : 2, 7, 12, . . .
If a−bxa+bx=b−cxb+cx=c−dxc+dx(x=0),then show that a, b, c and d are in G.P.