two-known-terms se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
4 questions tagged with two-known-terms.
If \(a_9=42\) and \(a_{16}=77\), what is \(a_{23}\)?
D. (112)
\(d=\frac{77-42}{7}=5\) इसलिए \(a_{23}=77+7\times5=112\)। समान दूरी के पदों में समान वृद्धि होती है। / \(d=\frac{77-42}{7}=5\) so \(a_{23}=77+7\times5=112\). Equally spaced terms have equal increases.
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If \(a_8=44\) and \(a_{18}=104\), what is \(a_{28}\)?
D. (164)
\(d=\frac{104-44}{10}=6\) इसलिए \(a_{28}=104+10\times6=164\)। समान स्थान अंतर होने पर समान पद अंतर जोड़ें। / \(d=\frac{104-44}{10}=6\) so \(a_{28}=104+10\times6=164\). Add the same term difference for equal position gaps.
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In an AP, \(a_5=27\) and \(a_{13}=67\). What is the value of \(a_{21}\)?
D. (107)
\(d=\frac{67-27}{13-5}=5\) और \(a_{21}=67+8\times5=107\)। निकट ज्ञात पद से आगे बढ़ना तेज होता है। / \(d=\frac{67-27}{13-5}=5\) and \(a_{21}=67+8\times5=107\). Moving from the nearer known term is faster.
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If the (5)th term of an AP is (16) and the (9)th term is (32), what is the (13)th term?
C. (48)
\(d=\frac{32-16}{9-5}=4\), इसलिए \(a_{13}=32+4\times4=48\)। समान स्थान अंतर होने पर पदों का अंतर भी समान होता है। / \(d=\frac{32-16}{9-5}=4\), so \(a_{13}=32+4\times4=48\). Equal position gaps give equal term gaps in an AP.
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