a sub1 =3 d=6 what is a sub32?

Algebra
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a sub1 =3   d=6 what is a sub32?

May 13th, 2015

a_1 = 3              d = 6

If we let  a_n = a_32,  that means that  n = 32

Keep in mind that 'd' represents the common difference for an arithmetic sequence.  Which means to find the value of a_32, we can use the arithmetic sequence formula          a_n = a_1 + (n - 1)*d

                 a_n = a_1 + (n - 1)*d              <Arithmetic sequence formula>

                 a_32 =  3 +  (32 - 1)*6              <Substitute variables>

                 a_32 = 3 + (31)*6                    <Work inside parenthesis>

                 a_32 = 3 + 186                        <Multiply>

                 a_32 = 189                              <Add>

SOLUTION:  a_32 = 189    (or the value of  a_sub32 is 189)

May 13th, 2015

Keep in mind that for an arithmetic sequence formula,  'a1' represents the first term in a sequence, 'd' is the common difference, and 'n' is the index value taken from 'n'.  Was there any questions you had over the work shown for your problem?

May 13th, 2015

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