Maths / Arithmetic Progression / Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given

QUESTION

The value of the 20th term for the AP series $\dpi{120} \fn_jvn \large 10,10\frac{1}{3},10\frac{2}{3},11,11\frac{1}{3},$ ________________ is

 OPTIONS A. $\dpi{80} \fn_phv \large \frac{790}{3}$ B. $\dpi{120} \fn_jvn \large \frac{619}{3}$ C. $\dpi{120} \fn_jvn \large \frac{690}{3}$ D. $\dpi{120} \fn_jvn \large \frac{129}{3}$
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

a=10,d=$\dpi{80} \fn_phv \large \frac{1}{3},S_2_0=\frac{20}{2}[2X10+(20-1)X\frac{1}{3}]$

=10(20+$\dpi{80} \fn_phv \large \frac{19}{3}=\frac{790}{3}$

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