3. एक अंकगणितीय श्रृंखला का 10 वाँ पद 46 है 5 वें तथा 7वें पदों का योगफल 52 हो तो वह श्रृंखला ज्ञात
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a10=a1+(10-1)d=a1+9d=46
a1+9d=46 equation 1
a5+a7=a1+4d + a1 +6d=2a1+10d=52
2a1+10d=52
a1+5d=26. equation 2
Subtract equation 2 from equation 1
4d=20
d=20/4=5
Put this value of d in any of the above equations, you will get a1=1
The series is a1, a1+d, a1+2d etc
1, 6, 11, 16 continue Ans
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