9. Sequences, Series, & Induction

Find the indicated term of the arithmetic sequence with first term, and common difference, d. Find a₆ when a₁ = 13, d = 4.

Find the indicated term of the arithmetic sequence with first term, and common difference, d. Find a₅₀ when a₁ = 7, d = 5.

Find the indicated term of the arithmetic sequence with first term, , and common difference, d. Find a₁₂ when a₁ = -8, d = -2

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for a_n to find a₂₀, the 20th term of the sequence. -7, -3, 1, 5 ...

Find the indicated term of the arithmetic sequence with first term, and common difference, d. Find a₂₀₀ when a₁ = −40, d = 5.

Find the indicated term of the arithmetic sequence with first term, and common difference, d. Find a₆₀ when a₁ = 35, d = -3.

Find the sum of the first 22 terms of the arithmetic sequence: 5, 12, 19, 26, ...

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for a_n to find a₂₀, the 20th term of the sequence. 1, 5, 9, 13,...

Find 3 + 6 + 9 + ... + 300, the sum of the first 100 positive multiples of 3.

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for a_n to find a₂₀, the 20th term of the sequence. 7,3,-1,-5,...

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

${\sum }_{i=1}^{16}(3i+2)$

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for a_n to find a₂₀, the 20th term of the sequence. a₁ = 9, d=2

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for a_n to find a₂₀, the 20th term of the sequence. a₁=-20, d = -4

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for a_n to find a₂₀, the 20th term of the sequence. a_n = a_n-1 +3, a₁ = 4

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for a_n to find a₂₀, the 20th term of the sequence. a_n= a_n-1 -10, a₁ = 30