previous-sum se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
11 questions tagged with previous-sum.
If \(S_n=31375\), what is the value of \(S_{n-12}\)?
C. (28441)
\(31375=S_{250}\), इसलिए \(S_{238}=\frac{238\cdot239}{2}=28441\)। पहले (n) पहचानकर (12) कम करें। / \(31375=S_{250}\), so \(S_{238}=\frac{238\cdot239}{2}=28441\). Identify (n) first and reduce it by (12).
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If \(S_n=16290\), what is the value of \(S_{n-8}\)?
D. (14878)
\(16290=S_{180}\), इसलिए \(S_{172}=\frac{172\cdot173}{2}=14878\)। पहले (n) पहचानें फिर (8) कम करें। / \(16290=S_{180}\), so \(S_{172}=\frac{172\cdot173}{2}=14878\). Identify (n) first and then reduce it by (8).
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If \(S_n-S_{n-1}=150\), what will be \(S_{n-1}\)?
A. (11175)
\(S_n-S_{n-1}=n\), इसलिए (n=150) और \(S_{149}=\frac{149\cdot150}{2}=11175\)। पिछले योग के लिए (n-1) लें। / \(S_n-S_{n-1}=n\), so (n=150) and \(S_{149}=\frac{149\cdot150}{2}=11175\). For the previous sum, take (n-1).
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If \(S_n=15400\), what is the value of \(S_{n-10}\)?
C. (13545)
\(15400=S_{175}\), इसलिए \(S_{165}=\frac{165\cdot166}{2}=13695\) है। दिए विकल्पों में सही मान नहीं है। / \(15400=S_{175}\), so \(S_{165}=\frac{165\cdot166}{2}=13695\). The listed options do not contain the correct value.
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If \(S_n=7875\), what is the value of \(S_{n-7}\)?
C. (7503)
\(7875=S_{125}\), इसलिए \(S_{118}=\frac{118\cdot119}{2}=7021\) नहीं है। सही गणना \(S_{118}=7021\) देती है। / \(7875=S_{125}\), so \(S_{118}=\frac{118\cdot119}{2}=7021\). The listed options should be checked carefully.
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If \(S_n-S_{n-1}=84\), what will be \(S_{n-1}\)?
B. (3486)
\(S_n-S_{n-1}=n\), इसलिए (n=84) और \(S_{83}=\frac{83\cdot84}{2}=3486\)। पिछले योग के लिए (n-1) लें। / \(S_n-S_{n-1}=n\), so (n=84) and \(S_{83}=\frac{83\cdot84}{2}=3486\). For the previous sum, take (n-1).
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If \(S_n=2145\), what is the value of \(S_{n-3}\)?
A. (1953)
\(2145=S_{65}\), इसलिए \(S_{62}=\frac{62\cdot63}{2}=1953\)। (n) पहचानकर तीन कम करें। / \(2145=S_{65}\), so \(S_{62}=\frac{62\cdot63}{2}=1953\). Identify (n) and reduce it by three.
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If \(S_n=5050\), what is the value of \(S_{n-10}\)?
A. (4095)
\(5050=S_{100}\), इसलिए \(S_{90}=4095\)। (n) पहचानकर (10) कम करें। / \(5050=S_{100}\), so \(S_{90}=4095\). Identify (n) and reduce it by (10).
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If \(S_n=2850\), what will be the value of \(S_{n-5}\)?
A. (2485)
\(2850=S_{75}\), इसलिए \(S_{70}=2485\)। पहले (n) पहचानकर (5) कम करें। / \(2850=S_{75}\), so \(S_{70}=2485\). First identify (n) and then reduce it by (5).
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If \(S_n=1176\), what will be \(S_{n-1}\)?
B. (1128)
\(1176=S_{48}\), इसलिए \(S_{47}=1128\)। पिछले योग के लिए (n)वां पद घटा सकते हैं। / \(1176=S_{48}\), so \(S_{47}=1128\). For the previous sum, you can subtract the (n)th term.
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If \(S_n=990\), what will be \(S_{n-2}\)?
B. (903)
\(990=S_{44}\), इसलिए \(S_{42}=\frac{42\cdot43}{2}=903\)। (n) पहचानकर दो पद पीछे जाएं। / \(990=S_{44}\), so \(S_{42}=\frac{42\cdot43}{2}=903\). Identify (n) and move two terms back.
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