Class 10 Mathematics Sequences And Progressions Practice
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Introduction to APs and common difference.
12 MCQs
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The first sequence has (d=4) and the second has (d=7), so the sum sequence has (d=11). In termwise addition, common differences add.
Step 2
Why this answer is correct
The correct answer is C. (11). The first sequence has (d=4) and the second has (d=7), so the sum sequence has (d=11). In termwise addition, common differences add.
Step 3
Exam Tip
पहले अनुक्रम का (d=4) और दूसरे का (d=7) है, इसलिए योग अनुक्रम का (d=11)। पद-दर-पद योग में सार्व अंतरों का योग होता है।
The first sequence has (d=-4) and the second has (d=3), so the difference sequence has (d=-4-3=-7). In termwise subtraction, subtract the differences too.
Step 2
Why this answer is correct
The correct answer is A. (-7). The first sequence has (d=-4) and the second has (d=3), so the difference sequence has (d=-4-3=-7). In termwise subtraction, subtract the differences too.
Step 3
Exam Tip
पहले अनुक्रम का (d=-4) और दूसरे का (d=3) है, इसलिए अंतर अनुक्रम का (d=-4-3=-7)। पद-दर-पद घटाव में अंतरों को भी घटाएं।
The two common differences are (3) and (5), so the sum sequence has (d=3+5=8). In termwise addition, common differences add.
Step 2
Why this answer is correct
The correct answer is C. (8). The two common differences are (3) and (5), so the sum sequence has (d=3+5=8). In termwise addition, common differences add.
Step 3
Exam Tip
दोनों सार्व अंतर (3) और (5) हैं, इसलिए योग अनुक्रम का (d=3+5=8)। पद-दर-पद योग में सार्व अंतरों का योग होता है।
The first sequence has (d=-3) and the second has (d=4), so the difference sequence has (d=-3-4=-7). In termwise subtraction, subtract the common differences too.
Step 2
Why this answer is correct
The correct answer is A. (-7). The first sequence has (d=-3) and the second has (d=4), so the difference sequence has (d=-3-4=-7). In termwise subtraction, subtract the common differences too.
Step 3
Exam Tip
पहले अनुक्रम का (d=-3) और दूसरे का (d=4) है, इसलिए अंतर अनुक्रम का (d=-3-4=-7)। पद-दर-पद घटाव में सार्व अंतरों को भी घटाएं।
A. (d=1) वाली अंकगणितीय श्रेणी/Arithmetic progression with (d=1)
Step 1
Concept
The common differences are (5) and (-4), so the sum sequence has (d=1). The termwise sum of two arithmetic progressions is also an arithmetic progression.
Step 2
Why this answer is correct
The correct answer is A. (d=1) वाली अंकगणितीय श्रेणी / Arithmetic progression with (d=1). The common differences are (5) and (-4), so the sum sequence has (d=1). The termwise sum of two arithmetic progressions is also an arithmetic progression.
Step 3
Exam Tip
दोनों सार्व अंतर (5) और (-4) हैं, इसलिए योग अनुक्रम का (d=1)। दो अंकगणितीय श्रेणियों का पद-दर-पद योग भी अंकगणितीय श्रेणी होता है।
The first sequence has (d=-4) and the second has (d=2), so the sum sequence has (d=-2). Add common differences in a sum.
Step 2
Why this answer is correct
The correct answer is B. (-2). The first sequence has (d=-4) and the second has (d=2), so the sum sequence has (d=-2). Add common differences in a sum.
Step 3
Exam Tip
पहले अनुक्रम का (d=-4) और दूसरे का (d=2) है, इसलिए योग अनुक्रम का (d=-2)। योग में सार्व अंतरों को जोड़ें।
The first sequence has (d=4) and the second has (d=6), so the difference sequence has (d=4-6=-2). In termwise difference, take the difference of common differences.
Step 2
Why this answer is correct
The correct answer is A. (-2). The first sequence has (d=4) and the second has (d=6), so the difference sequence has (d=4-6=-2). In termwise difference, take the difference of common differences.
Step 3
Exam Tip
पहले अनुक्रम का (d=4) और दूसरे का (d=6) है, इसलिए अंतर अनुक्रम का (d=4-6=-2)। पद-दर-पद अंतर में सार्व अंतरों का अंतर लें।
