Let Tr be the rth term of a sequence, for r = 1, 2, 3, ……. If 3Tr+1 = Tr and24317 =T , then thevalue of=+11 ).(rrr TT is

Tn is the nth term of a sequence S. The terms T2 – T1, T3 – T2, T4 – T3 … are in AP. If T3 = 40, T5 = 104 and T7 = 200, the value of T10 is ______.

Let Vr denotes the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is (2r-1).  Let Tr = Vr+1-Vr-2Tr is always:

Choose the 10th term of the sequence with the nth term as

Look at the sequence ଵଷ, ଶସ, ଷହ , ସ଺ , … , … ..Write down (a) the 10th term (1 mark)(b) the nth term

Find a formula for the general term of the sequence, assuming thatthe pattern of the rst few terms continues.(a){ 12 , 23 , 34 , 45 , 56 , . . .}(b){−1, 12 , − 16 , 124 , − 1120 , . . .}(c){1, 13 , 15 , 17 , 19 , . . .}(d) {5, 1, 5, 1, 5, 1, . . .}