Question

Find the 60th term of the arithmetic sequence − 29 , − 49 , − 69

Answer 1

a₆₀ = - 1209

Step-by-step explanation:

the nth term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

a₁ is the first term, d the common difference , n the term number

here a₁ = - 29 , d = a₂ - a₁ = - 49 - (- 29) = - 49 + 29 = 20 , n = 60

a₆₀ = - 29 + (59 × - 20) = - 29 - 1180 = - 1209

Answer 2

To find the 60th term of an arithmetic sequence, use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.

Step-by-step explanation:

To find the 60th term of an arithmetic sequence, we can use the formula:

an = a1 + (n-1)d

Given the sequence -29, -49, -69, and assuming -29 is the first term (a1) and the common difference (d) is -20, we can substitute the values into the formula:

a60 = -29 + (60-1)(-20)

Now we can solve for a60 to find the 60th term of the sequence.

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