Math, asked by beliver0660, 4 months ago

The 7th term of 1/3,1/7,1/11,....is
a)27
b)0
c)7/3
d)1/27​

Answers

Answered by ayush6884
2

a =  \frac{1}{3} \\ d =  \frac{1}{7}  -  \frac{1}{3}  \\  =  \frac{3 - 7}{21}  \\  =  \frac{ - 4}{21}  \\ n = 7 \\ an = ? \\ an = a + (n - 1)d \\ an \\  =  \frac{1}{3}  + (7 - 1)( \frac{ - 4}{21} ) \\  =  \frac{1}{3}  + 6 \times (  \frac{ - 4}{21} ) \\ =   \frac{1}{3}   -  \frac{24}{21}  \\  =  \frac{7 - 24}{21}  \\  =  \frac{ - 17}{21}  \\ hence \: the \: 7th \: term \: is \:  \frac{ - 17}{21} .

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