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Question Number 72835 by Maclaurin Stickker last updated on 03/Nov/19

In an arithmetic progression the  ninth term is greater than the second  term and the sum of the first term  with the fifth term is 20. What is  the fifth term?

$${In}\:{an}\:{arithmetic}\:{progression}\:{the} \\ $$$${ninth}\:{term}\:{is}\:{greater}\:{than}\:{the}\:{second} \\ $$$${term}\:{and}\:{the}\:{sum}\:{of}\:{the}\:{first}\:{term} \\ $$$${with}\:{the}\:{fifth}\:{term}\:{is}\:\mathrm{20}.\:{What}\:{is} \\ $$$${the}\:{fifth}\:{term}? \\ $$

Answered by $@ty@m123 last updated on 04/Nov/19

t_1 +t_5 =20  a+d+a+4d=20  2a+5d=20 .....(1)  Insufficient information...  Pl. check your question.  In my opinion,  “ninth term is ...... greater than the second”  A number is missing in blank space

$${t}_{\mathrm{1}} +{t}_{\mathrm{5}} =\mathrm{20} \\ $$$${a}+{d}+{a}+\mathrm{4}{d}=\mathrm{20} \\ $$$$\mathrm{2}{a}+\mathrm{5}{d}=\mathrm{20}\:.....\left(\mathrm{1}\right) \\ $$$${Insufficient}\:{information}... \\ $$$${Pl}.\:{check}\:{your}\:{question}. \\ $$$${In}\:{my}\:{opinion}, \\ $$$$``{ninth}\:{term}\:{is}\:......\:{greater}\:{than}\:{the}\:{second}'' \\ $$$${A}\:{number}\:{is}\:{missing}\:{in}\:{blank}\:{space} \\ $$

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