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2 years ago

What is the 17th term in the arithmetic sequence an=77+(n-1)(-5)

Mathematics

2 answers:

Semmy [17]2 years ago

8 0

Answer:

a₁₇ = - 3

Step-by-step explanation:

substitute n = 17 into the nth term rule

a₁₇ = 77 + 16 × - 5 = 77 - 80 = - 3

dedylja [7]2 years ago

4 0

Answer: -3

Step-by-Step Explanation:

=> an = 77 + (n - 1)(-5)

Therefore,
=> a = 77
=> d = -5
=> n = 17

Substitute Values in the Formula :-

an = a + (n - 1)(d)
an = 77 + (n - 1)(-5)
a17 = 77 + (17 - 1)(-5)
a17 = 77 + 16(-5)
a17 = 77 - 80
=> a17 = -3

Hence, the 17th Term of the A.P is -3

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Here,

The diagram has been attached here

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