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यदि समांतर श्रेढ़ी का 7वाँ पद 4 है एवं इसका सार्व अंतर- 4 है तो इसका प्रथम पद क्या होगा ?

(A) 16

(B) 20

(C) 24

(D) 28

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सही विकल्प है (D) 28

समांतर श्रेढ़ी का nवाँ पद है

\(T_n=a+(n-1) d\)

यदि समांतर श्रेढ़ी का पहला पद 'a' और सार्व अंतर 'd' है, तो 7वाँ पद \(a+6d\) होगा।

प्रश्न के अनुसार, सार्व अंतर (d) -4 है और 7वाँ पद \((a_7)\) 4 है।

इसलिए, \(a+6d = a_7\)

\(\Rightarrow a+6(-4) =4\)

\(a-24 =4 \)

\(a =4+24 \)

\(\therefore a =28\)

अतः प्रथम पद 28 है।

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