Question

Write an equation for the nth term of the arithmetic seqeuence. Then find a10. 12,1,112,2,.

Answer 1

An equation for the nth term of the arithmetic sequence: an =  n - 6.

ad 10th term a10 = 4.

Define the term arithmetic sequence?

• A sequence of a form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence.
• A common difference of the sequence is d, and the number an is the first term.

The formula for the nth term of the

an = a + (n -1)d

In which,

• a = initial term
• d = common difference
• n = total number of terms

The arithmetic sequence is given as-

−5,−4,−3,−2, ...

Then, the equation will be

d = a2 - a1

d = -4 - (-5) = 1

an = a + (n -1)d

an = -5 + n - 1

Put n = 10 in the equation.

a10 = 10 - 6

a10 = 4

Thus, the 10th term of the sequence is 4.

To know more about the arithmetic sequence, here

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The correct question is-

Write an equation for the nth term of the arithmetic sequence. Then find a10.

−5,−4,−3,−2, ...