दी हुई A.P. के अगले दो पद लिखिए: 4, 10, 16, 22, ...
Understand the Problem
यह प्रश्न हमें एक समान्तर श्रेणी (Arithmetic Progression) दी गई है, और पूछता है कि इस श्रेणी के अगले दो पद (terms) क्या होंगे। इसे हल करने के लिए, हमें सबसे पहले श्रेणी के पदों के बीच का अंतर (common difference) ज्ञात करना होगा, और फिर उस अंतर का उपयोग करके अगले दो पदों की गणना करनी होगी।
Answer
28, 34
Answer for screen readers
28, 34
Steps to Solve
- Find the common difference
To find the common difference ($d$) in the arithmetic progression, subtract any term from its preceding term. For example, $d = 10 - 4 = 6$ $d = 16 - 10 = 6$ $d = 22 - 16 = 6$ So the common difference $d = 6$.
- Find the next term
To find the next term, add the common difference to the last given term: $22 + 6 = 28$.
- Find the term after that
Add the common difference to the previous term: $28 + 6 = 34$.
28, 34
More Information
An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is constant. This constant difference is known as the common difference, denoted by '$d$'.
Tips
A common mistake is incorrectly calculating the common difference, leading to the wrong next terms. Always double-check your subtraction to ensure accuracy. Another mistake is adding instead of subtracting or vice versa. Always check the sign of the difference.
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