Find the four numbers in A.P., whose sum is 50 and in which the greatest number is 4 times the least.
Three numbers are in A.P. If the sum of these numbers be 27 and the product 648, find the numbers.
The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceeds the second term by 6, find three terms.
Find the value of x for which (8x + 4), (6x – 2) and (2x + 7) are in A.P.
1. Write the first terms of each of the following sequences whose nth term are:
(i) an = 3n + 2
(ii) an = (n – 2)/3
(iii) an = 3n
(iv) an = (3n – 2)/ 5
(v) an = (-1)n . 2n
(vi) an = n(n – 2)/2
(vii) an = n2 – n + 1
(viii) an = n2 – n + 1
(ix) an = (2n – 3)/ 6
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