-->

समांतर श्रेणी

Question
CBSEHHIMAH10010157

निम्नलिखित में से कौन-कौन A.P. हैं? यदि कोई A.P. है, तो इसका सार्व अंतर ज्ञात कीजिए और इनके तीन और पद लिखिए।
3 comma space 3 plus square root of 2 comma space 3 plus 2 square root of 2 comma space 3 space plus 3 square root of 2 comma space...

Solution
3 comma space 3 plus square root of 2 comma space 3 plus 2 square root of 2 comma space 3 space plus 3 square root of 2 comma space...
 a subscript 2 italic space minus space a subscript 1 space equals space open parentheses 3 space plus space square root of 2 close parentheses space minus space 3 space equals space square root of 2
straight a subscript 3 space minus space straight a subscript 2 space equals space open parentheses 3 space plus space 2 square root of 2 close parentheses space minus space left parenthesis 3 space plus space square root of 2 right parenthesis
equals space square root of 2
straight a subscript 4 space minus space straight a subscript 3 space equals space open parentheses 3 space plus space 3 square root of 2 close parentheses space minus space left parenthesis 3 space plus space 2 square root of 2 right parenthesis space
equals space square root of 2
सार्व अंतर, straight d space equals space square root of 2
अगले तीन पद:
a subscript 5 space equals space open parentheses 3 space plus space 3 square root of 2 close parentheses space plus space square root of 2 space equals space 3 space plus space 4 square root of 2
straight a subscript 6 space equals space open parentheses 3 space plus space 4 square root of 2 close parentheses space plus space square root of 2 space equals space 3 space plus space 5 square root of 2
straight a subscript 7 space equals space open parentheses 3 space plus space 5 square root of 2 close parentheses space plus space square root of 2 equals space 3 space plus space 6 square root of 2