Sequences and Series
The minimum value of 2sinx +2cosx is
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The sums of n terms of two arithmetic progressions are in the ratio 5n+4:9n+6. Find the ratio of their 18thterms.
Find the sum to indicated number of terms in each of the geometric progressions : x3,x5,x7,n˙˙˙terms (ifx=±1).
An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.
Write the first five terms of the sequence whose nthterms are : an=n+1n
Find the sum of the first 22 terms of the AP : 8,3,-2, . . . .
Let x=1+a+a2+…and y=1+b+b2+…, where ∣a∣<1and ∣b∣<1. Prove that 1+ab+a2b2+…=x+y−1xy
Find the sum of first 22 terms of an AP in which d=l and 22nd term is 149.
Determine the AP whose third term is 16 and the 7thterm exceeds the 5thterm by 12.