In \(12,24,48,96,\ldots\), \(a_4=96\) and the common ratio is (2). Match both the position and the ratio.
Step 2
Why this answer is correct
The correct answer is A. \(12,24,48,96,\ldots\). In \(12,24,48,96,\ldots\), \(a_4=96\) and the common ratio is (2). Match both the position and the ratio.
Step 3
Exam Tip
\(12,24,48,96,\ldots\) में \(a_4=96\) और सार्व अनुपात (2) है। पद-संख्या और अनुपात दोनों मिलाएं।
In \(32,16,8,4,2,\ldots\), \(r=\frac{1}{2}\) and the fifth term is (2). Check both first and fifth terms in the options.
Step 2
Why this answer is correct
The correct answer is A. \(32,16,8,4,\ldots\). In \(32,16,8,4,2,\ldots\), \(r=\frac{1}{2}\) and the fifth term is (2). Check both first and fifth terms in the options.
Step 3
Exam Tip
\(32,16,8,4,2,\ldots\) में \(r=\frac{1}{2}\) और पाँचवाँ पद (2) है। विकल्पों में पहला और पाँचवाँ पद दोनों जांचें।
In \(5,15,45,135,405,1215,\ldots\), \(a_3=45\) and \(a_6=1215\). Check each option up to the required positions.
Step 2
Why this answer is correct
The correct answer is A. \(5,15,45,135,\ldots\). In \(5,15,45,135,405,1215,\ldots\), \(a_3=45\) and \(a_6=1215\). Check each option up to the required positions.
Step 3
Exam Tip
\(5,15,45,135,405,1215,\ldots\) में \(a_3=45\) और \(a_6=1215\) हैं। विकल्पों में पद-संख्या तक जांच करें।
In \(2,10,50,250,\ldots\), \(a_3=50\) and the common ratio is (5). Match both the position and the ratio.
Step 2
Why this answer is correct
The correct answer is A. \(2,10,50,250,\ldots\). In \(2,10,50,250,\ldots\), \(a_3=50\) and the common ratio is (5). Match both the position and the ratio.
Step 3
Exam Tip
\(2,10,50,250,\ldots\) में \(a_3=50\) और सार्व अनुपात (5) है। पद-संख्या और अनुपात दोनों मिलाएं।
In \(12,6,3,\frac{3}{2},\ldots\), \(r=\frac{1}{2}\) and the fourth term is \(\frac{3}{2}\). Check both first and fourth terms in the options.
Step 2
Why this answer is correct
The correct answer is A. \(12,6,3,\frac{3}{2},\ldots\). In \(12,6,3,\frac{3}{2},\ldots\), \(r=\frac{1}{2}\) and the fourth term is \(\frac{3}{2}\). Check both first and fourth terms in the options.
Step 3
Exam Tip
\(12,6,3,\frac{3}{2},\ldots\) में \(r=\frac{1}{2}\) और चौथा पद \(\frac{3}{2}\) है। विकल्पों में पहला और चौथा पद दोनों जांचें।
In \(6,18,54,162,486,\ldots\), \(a_2=18\) and \(a_5=486\). Check each option up to the required positions.
Step 2
Why this answer is correct
The correct answer is B. \(6,18,54,162,\ldots\). In \(6,18,54,162,486,\ldots\), \(a_2=18\) and \(a_5=486\). Check each option up to the required positions.
Step 3
Exam Tip
\(6,18,54,162,486,\ldots\) में \(a_2=18\) और \(a_5=486\) हैं। विकल्पों में पद-संख्या तक जांच करें।
In \(4,12,36,108,\ldots\), each term is multiplied by (3). In a geometric progression consecutive ratios are equal.
Step 2
Why this answer is correct
The correct answer is B. \(4,12,36,108,\ldots\). In \(4,12,36,108,\ldots\), each term is multiplied by (3). In a geometric progression consecutive ratios are equal.
Step 3
Exam Tip
\(4,12,36,108,\ldots\) में हर बार (3) से गुणा हो रहा है। गुणोत्तर श्रेढ़ी में लगातार अनुपात समान होता है।
