Arithmetic Progressions — Flashcards
Madhya Pradesh Board · Class 10 · Mathematics
56 flashcards for Arithmetic Progressions (Madhya Pradesh Board Class 10 Mathematics) to test yourself on key terms and facts.
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Find the common difference and write the next two terms: 4, 10, 16, 22, ...
Answer
Step 1: Find consecutive differences. 10 - 4 = 6 16 - 10 = 6 22 - 16 = 6 Step 2: The difference is the same, so this is an AP. Common difference d = 6 Step 3: Next terms: 22 + 6 = 28 28 + 6 = 34 Answe…
सामान्य अंतर ज्ञात कीजिए और अगले दो पद लिखिए: 4, 10, 16, 22, ...
Answer
चरण 1: लगातार अंतर ज्ञात करें। 10 - 4 = 6 16 - 10 = 6 22 - 16 = 6 चरण 2: अंतर समान है, इसलिए यह AP है। साधारण अंतर d = 6 चरण 3: अगले पद: 22 + 6 = 28 28 + 6 = 34 उत्तर: 28, 34…
Find the common difference and the next two terms: 1, -1, -3, -5, ...
Answer
Step 1: Find consecutive differences. -1 - 1 = -2 -3 - (-1) = -2 -5 - (-3) = -2 Step 2: The difference is constant, so this is an AP. Common difference d = -2 Step 3: Next terms: -5 + (-2) = -7 -7 + (…
सामान्य अंतर और अगले दो पद ज्ञात कीजिए: 1, -1, -3, -5, ...
Answer
चरण 1: लगातार अंतर ज्ञात करें। -1 - 1 = -2 -3 - (-1) = -2 -5 - (-3) = -2 चरण 2: अंतर स्थिर है, इसलिए यह AP है। साधारण अंतर d = -2 चरण 3: अगले पद: -5 + (-2) = -7 -7 + (-2) = -9 उत्तर: -7, -9…
Check whether -2, 2, -2, 2, -2 forms an AP.
Answer
Step 1: Find consecutive differences. 2 - (-2) = 4 -2 - 2 = -4 Step 2: The differences are not equal. Since the common difference is not the same, the list is not an AP. Answer: Not an AP…
जाँच करें कि क्या -2, 2, -2, 2, -2, AP बनाता है।
Answer
चरण 1: लगातार अंतर ज्ञात करें। 2 - (-2) = 4 -2 - 2 = -4 चरण 2: अंतर बराबर नहीं हैं। चूंकि उभयनिष्ठ अंतर समान नहीं है, इसलिए सूची AP नहीं है। उत्तर: AP नहीं है।…
Find the first term and common difference of the AP: 3/2, 1/2, -1/2, -3/2, ...
Answer
Step 1: The first term is the first number. a = 3/2 Step 2: Find the common difference. d = 1/2 - 3/2 = -1 Step 3: Check with the next term. -1/2 - 1/2 = -1 Answer: a = 3/2, d = -1…
AP: 3/2, 1/2, -1/2, -3/2, ... का पहला पद और सार्व अंतर ज्ञात कीजिए।
Answer
चरण 1: पहला पद पहला नंबर है। a = 3/2 चरण 2: उभयनिष्ठ अंतर ज्ञात कीजिए। d = 1/2 - 3/2 = -1 चरण 3: अगले पद से जाँच करें। -1/2 - 1/2 = -1 उत्तर: a = 3/2, d = -1…
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