Question

1. Find the next two numbers in each sequence. A) 3,1,2,-1,3,4, B) 16, 24, 36, 54, 81, 2. Find a recursion formula for the sequences listed above. A) 4 B) . 3. Determine tz. 14, and ts for the recursion formulas listed below. A) 11 = 1, tz=3, th=2 19-1-317-2- B) t1 = 4, ty=3, tz=2, n =(19-3 + 1n-2)X In-1

Answer 1

Paga No. Date: -11 7 A) 3, 1, 2, -1, 3, 4, I B.2 16,24,367:54, 81, 121.5, 182.25 How I solved this see in Q-2, its recursive form.l.a. 2.A9 t =3, te=1 t,=3, t₂ = L tua tuz-tur B.) t = 16 tu = 3 (tn). 7 2 3. A.) 6 = 1, t2 =3, tuz 2 tnx - 3tu.z. So putue3. 63= 262 -34 = 283 – 381 36-3=13 h24_ty= 2t3–3 tz = 2x3_- 3x3= 6-93-3 M=5 tgz 2 ty - 33 = 28-3 -383 = -6-92-15. So by calculation (t3 = 3, ty=-3, tg = =15]. B-) t = 4, t = 3 t3=2, tultus ttap lxtape Putus4 tu= (t + tz) xtz ty ( 4+3)x2 = 7x2 = 14 Putn 25 ts= ( tz ttz) x ty ts= (3+2)x14= 5x 24 = 170 Seltz=2, ty = 14, ts = 70

Here I solved all the sequences you can identify easily how is the pattern going. Instead if you have any doubt you can ask. Hope it helps.

Thank you