exponential-sequence se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
6 questions tagged with exponential-sequence.
If \(a_n=2^n+3n\), what will be the first four terms?
A. (5,10,17,28)
(n=1,2,3,4) रखने पर (5,10,17,28) मिलते हैं। घात और रैखिक भाग दोनों जोड़ना न भूलें। / Putting (n=1,2,3,4) gives (5,10,17,28). Do not forget to add both the power part and the linear part.
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If \(a_n=6^n-3n\), what is the value of \(a_3\)?
C. (207)
(a_3=63-3(3)=216-9=207)। घात निकालने के बाद रैखिक भाग घटाएं। / (a_3=63-3(3)=216-9=207). Evaluate the power first and then subtract the linear part.
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If \(a_n=3^n+2n\), what will be the first three terms?
A. (5,13,33)
(n=1,2,3) रखने पर (5,13,33) मिलते हैं। घात और रैखिक भाग दोनों जोड़ना न भूलें। / Putting (n=1,2,3) gives (5,13,33). Do not forget to add both the power part and the linear part.
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If \(a_n=4^n-2\), what is the value of \(a_3\)?
B. (62)
\(a_3=4^3-2=64-2=62\)। घात निकालने के बाद ही (2) घटाएं। / \(a_3=4^3-2=64-2=62\). Subtract (2) only after evaluating the power.
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If \(a_n=2^n+n\), what will be the first four terms?
D. (3,6,11,20)
(n=1,2,3,4) रखने पर (3,6,11,20) मिलते हैं। घात और (n) दोनों को साथ जोड़ें। / Putting (n=1,2,3,4) gives (3,6,11,20). Add both the power part and (n) together.
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If \(a_n=5^n\), what is the value of \(a_4\)?
D. (625)
\(a_4=5^4=625\)। घातांक वाले नियम में गुणा बार-बार करना याद रखें। / \(a_4=5^4=625\). In exponential rules remember repeated multiplication.
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