Sequences 1

gn=3*5^(n-1)

first term of this geometric sequence is 3

Kwan is sorting pencils into boxes. He put 3 pencils in the first box, 9 pencils in the second box, 27 pencils in the third box, 81 pencils in the fourth box, and 243 pencils in the fifth box. If this pattern continues, how many pencils will Kwan put in the sixth box?

729

7, 14, 21, 28, 35, 42, ..

7 is added to the previous term.

27, 9, 3, 1......what is the 6th term ?

1/9

Alana's Bakery is getting more and more orders for blackberry pies. The bakers made 1 blackberry pie in July, 3 blackberry pies in August, 9 blackberry pies in September, and 27 blackberry pies in October. If this pattern continues, how many blackberry pies will the bakery make in November?

81

1, 1, 2, 3, 5, 8, 13, 21, ...

Not an arithmetic sequence

-2, -3, -4, -5, -6, -7, ...

-1 is added to the previous term.

Give the next three terms in the sequence: -1,-5,-9,-13...

-17, -21, -25

-1, -3, -5, -7, -9, -11, -13, -15, ..

-2 is added to the previous term.

an=2-7(n-1)

-7 is the common difference

1.1, 1.4, 1.7, 2.0, 2.3, 2.6, 2.9, ...

0.3 is added to the previous term.

an=-3+2(n-1), find the third term

1

The flower shop displays a different number of roses in the front window every month. It displayed 1 rose in August, 2 roses in September, 4 roses in October, and 8 roses in November. If this pattern continues, how many roses will the flower shop window display in December?

16

Give the next three terms in the sequence: 1,5,9,13...

17, 21, 25

2, 4, 6, 8, 10, 12, ...

2 is added to the previous term.

Pam is writing a poem. She writes 20 words on the first line, 22 words on the second line, 24 words on the third line, and 26 words on the fourth line. If this pattern continues, how many words will Pam write on the fifth line?

28

1, 4, 7, 10, 13, 16, ...

3 is added to the previous term.

Ronnie is organizing his books and putting them on shelves. He put 1 book on the first shelf, 2 books on the second shelf, 4 books on the third shelf, 8 books on the fourth shelf, and 16 books on the fifth shelf. If this pattern continues, how many books will Ronnie put on the sixth shelf?

32

While sorting some change into piggy banks, Christopher put 2 coins in the first piggy bank, 4 coins in the second piggy bank, 8 coins in the third piggy bank, and 16 coins in the fourth piggy bank. If this pattern continues, how many coins will Christopher put in the fifth piggy bank?

32

4, 8, 12, 16, 20...

4 + 4(n-1)

Ian did 8 push-ups on Thursday, 16 push-ups on Friday, 24 push-ups on Saturday, and 32 push-ups on Sunday. If this pattern continues, how many push-ups will Ian do on Monday?

40

Alice's Pizzeria made 30 pizzas on Wednesday, 33 pizzas on Thursday, 36 pizzas on Friday, 39 pizzas on Saturday, and 42 pizzas on Sunday. If this pattern continues, how many pizzas will the pizzeria make on Monday?

45

gn=3*2^(n-1) find the fifth term

48

5, 10, 20, 40 ...

5 *2^(n-1)

6, 12, 24, 48

6*2^(n-1)

The Wholesome Bakery baked 49 loaves of bread on Friday, 56 loaves of bread on Saturday, 63 loaves of bread on Sunday, and 70 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?

77

8, 24, 72, 216...

8*3^(n-1)

8, 10, 12, 14, . . .

8+2(n-1)

On the last day of school, the first student will receive 30 blue pens, the second student will receive 40 blue pens, the third student will receive 50 blue pens, the fourth student will receive 60 blue pens, and the fifth student will receive 70 blue pens. If this pattern continues, how many blue pens will the sixth student receive?

80

given this sequence 2, 4 , 6, .... is 32 part of this sequence??

yes