Maths / Arithmetic Progression / General Term Of an AP

QUESTION

One of the following statement is true. Identify the statement.

 OPTIONS A. $\dpi{120} \fn_jvn \large \dpi{120} \fn_jvn \large a_{m-n} - a_{m+n}= 2a_m$ B. $\dpi{120} \fn_jvn \large a_{m-n} + a_{m+n}= 2a_m$ C. $\dpi{120} \fn_jvn \large a_{m-n} + a_{m+n}= 2a_n$ D. $\dpi{120} \fn_jvn \large a_{m-n} + a_{m+n}= a_m$
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

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

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

$\dpi{120} \fn_jvn \large a_{m-n} + a_{m+n}= 2a + (m-n-1+m+n-1)d$

$\dpi{120} \fn_jvn \large a_{m-n} + a_{m+n}= 2a + (2m-2)d$

$\dpi{120} \fn_jvn \large a_{m-n} + a_{m+n}= 2(a + (m-1)d)$

$\dpi{120} \fn_jvn \large a_{m-n} + a_{m+n}= 2a_m$

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