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

QUESTION

What is the value 6th term from the last in the AP

1, 8, 15, 22, ......., 2003

 OPTIONS A. 1982 B. 1961 C. 1968 D. 1975
Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

1, 8, 15, 22, ......., 2003 is an AP with a= 1 and d= 7

$\dpi{120} \fn_jvn \large a_n= a+(n-1)d$

a+(n-1)d = 2003

1+(n-1) 7 = 2003

1+7n-7 = 2003

7n-6 = 2003

7n= 2009

n= 287

6th term from end = n-6+1 = 287 -6+1= 282

$\dpi{120} \fn_jvn \large a_{282}= 1+(282-1)7= 1+ 281 X 7= 1968$

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