Zebie asked in Science & MathematicsMathematics · 1 month ago

# Find the common difference and the nth term of ewch arithmetic sequence. a  3,5,7,9 b. 5,2,-1,-4?

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• 1 month ago

You asked this question yesterday and received many good answers, including mine. Here it is again:

a) nth term of AP is a + (n - 1)d

so, 3, 5, 7, 9,...a = 3 and d = 2

Hence, 3 + 2(n - 1) => 2n + 1

b) with 5, 2, -1, -4,....a = 5 and d = -3

Hence, 5 + (n - 1)(-3) => 8 - 3n

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• 3 weeks ago

The common difference and the nth term of each arithmetic sequence:

a.

3, 5, 7, 9, ...

d = 2

an = 2 n + 1

b.

5, 2, -1, -4, ...

d = -3

an = 8 - 3 n

• sepia
Lv 7
1 month ago

Find the common difference and the nth term of each arithmetic sequence.

a)

3, 5, 7, 9, ... The common difference is 2.

a_n = 2 n + 1

b)

5, 2, -1, -4, ...  The common difference is -3.

a_n = 8 - 3 n

• 1 month ago

a) d = 2.  a(n) = 3 + (n - 1)(2).  a(n) = 3 + 2n - 2.  a(n) = 1 + 2n.

b) d = -3. a(n) = 5 + (n - 1)(-3). a(n) = 5 - 3n + 3. a(n) = 8 - 3n.

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