MCR3U Unit 6 Lesson 5 Practice
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St Edmund Campion Secondary School**We aren't endorsed by this school
Course
MATH MCR3UP
Subject
Mathematics
Date
Dec 16, 2024
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3
Uploaded by Nefth
MCR3U Unit 6 Lesson 5 Practice 1) Write the first four terms of each sequence. a) t1 = 4, tn = tn-l + 3 b) tl = 50' tn — tnz—l c) t1 — 100‘ tn — Ston;l 2) Write the first four terms of each sequence a) f(1) =3, f(n) =12 b) f(1) = 05, f(n) = —f(n—1) 3) Determine a recursion formula for each sequence. a)5,11,17,23, .. b)4,1,-2,-5, .. c)4,8,16,32, ... d) —4,-2,—1, _%
4) For each graph, write the sequence of terms and determine a recursion formula. ) b) ik 1204 ? 4 ¢ L I | ! | 80 ‘ P | o v O_z_fi n | 404 o , 41— } ‘ ‘i ‘ ; o 24 7n ‘81— 41 | Y 5) A new theatre is being built for a youth orchestra. This theatre has 50 seats in the first row, 54 in the second row, 62 in the third row, 74 in the next row, and so on. Represent the number of seats in the rows as a sequence and then write a recursion formula to represent the number of seats in any row. 6) Write the first four terms of each sequence. | = a)t, =1, t, = (t,-1)*+3n b)t, = t,=4t,_, +2 ~N
7) A square based pyramid with height 7 meters is constructed with cubic blocks measuring 1 m on each side. Write a recursion formula for the sequence that represents the number of blocks used at each level from top down. Answers 25 25 1)a)4,7,10,13 b)50,25,=>,= ¢€) 100,5 000, 250 000, 12 500 000 2)a)3,%,-,- b)05,-05,05,-0.5 3)a)t, =ty 1+6 b)ty,=ty1—3 )ty =2ty d)t,= "‘2“ 4)a)t, =t,_1 +30 b)t, =—2t,, 5)t, =t, , +4n—1) 6)a) 1,7,58,3376 b) %,4, 18,74 Nty =ty +2n—1