Question #02853

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Answer 1 · 2017-08-24T15:57:02

#T_n = 13 - 2n#

Sequence # 11, 9, 7, 5, 3#

First term #-> a = 11#

Common Difference #-> d = T_2 - T_1 or T_3 - T2#

#rArr T_2 - T_1 = 9 - 11 = - 2#

#rArr T_3 - T2 = 7 - 9 = - 2#

Recall #-> T_n = a + (n - 1) d#

#:. T_n = 11 + (n - 1) - 2#

#rArr T_n = 11 + (-2n + 2)#

#rArr T_n = 11 - 2n + 2#

Collect like terms

#rArr T_n = 11 + 2 -2n#

#rArr T_n = 13 - 2n#