Arithmetic Sequences

22

Find the 10th term in the sequence: -5, -2, 1, 4, ...

-30

Find the 12th term in a sequence with common difference -8 and first term 58.

96

Find the 21st term in the sequence. -4, 1, 6, 11, 16, ...

279

Find the 72nd term in the sequence: -5, -1, 3, 7, ..

-7

Find the common difference in the sequence: 10, 3, -4, -11, ...

9

Find the common difference: 16, 25, 34, ..

17

Find the first term in a sequence where the common difference is 6 and the eleventh term is 77.

19, 23, 27

Find the next three terms in the sequence: 3, 7, 11, 15, ...

-11, -16, -21

Find the next three terms in the sequence: 4, -1, -6, ...

No, each term is the square of the next consecutive integer, starting with 1.

Is the pattern an arithmetic sequence? Why? 1, 4, 9, 16, _______, _______

No, each term is the previous number multiplied by -2.

Is the pattern an arithmetic sequence? Why? 2, -4, 8, -16, _______, _______

No, each number is the previous number multiplied by 2

Is the pattern an arithmetic sequence? Why? 2, 4, 8, 16, _______, _______

Yes, each number is the previous number plus 3

Is the pattern an arithmetic sequence? Why? 2, 5, 8, 11, _______, _______

No, each term is the previous number multiplied by 3

Is the pattern an arithmetic sequence? Why? 3, 9, 27, 81, _______, _______

Yes, each term is the previous number plus 6

Is the pattern an arithmetic sequence? Why? 9, 15, 21, 27, _______, _______

A(n)= a₁+ d(𝑛-1) 𝑛 = the term number in the sequence (input/x) A(𝑛)=value of the nth term of the sequence(output/f(x)/y)

What is the Explicit Formula/Function Rule of an arithmetic sequence? And, what does each variable represent?

A(𝑛) = -9 + (n-1)6

What is the explicit formula for the following sequence? -9, -3, 3, 9

A(𝑛) = 7 + 4(𝑛-1)

What is the explicit formula for the sequence below? 7,11,15,19

A(𝑛) = A(𝑛-1) + 6

What is the recursive formula for the following sequence? -9, -3, 3, 9

A(n) = 10 + (n-1)2

Write the explicit formula for the following sequence: 10, 12, 14, 16, ...

A(n)=A(n-1)+10

Write the recursive formula for the following sequence: -12, -2, 8, 18, ...

a numerical pattern that adds or subtracts the same number each time

arithmetic sequence

the difference between any two consecutive terms in an arithmetic sequence

common difference

numbers in order from least to greatest or greatest to least

sequence

Each number in the sequence

term