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There are two arithmetic sequences 2, 6, 10 , 190 and 2, 8, 14 The common terms of the two arithmetic sequences form a new sequence from small to large, and the sum of each item of the new sequence is calculated
There are two arithmetic sequences 2, 6, 10 , 190 and 2, 8, 14 The common terms of these two arithmetic sequences form a new sequence from small to large, 2, 14, 26, 38, 50 There are 182 − 212 + 1 = 16, which are also arithmetic sequences. The sum of them is 2 + 1822 × 16 = 1472. The sum of the new series is 1472
RELATED INFORMATIONS
- 1. Among the four numbers, the first three numbers form an arithmetic sequence, the last three numbers form an arithmetic sequence, the second and third sum is 8, and the first four sum is 16
- 2. After inserting 8 numbers between 5 and 69, make these numbers into arithmetic sequence, and find out the sum of this arithmetic sequence
- 3. The following string number: 2.5.8.212, find the average of this string number
- 4. Given that the average of 8 numbers is 5, what is the average of 9 numbers composed of 8 numbers and 5 numbers?
- 5. If the sixth term of an arithmetic sequence is 5 and the sum of the third term and the eighth term is 5, then the sum of the first nine terms of the arithmetic sequence is 5______ ．
- 6. There are eight numbers whose average is 9.2. The average of the first four numbers is 8.9, and the average of the last five numbers is 9.5. What is the fourth number? What's the formula
- 7. There are eight numbers, and their average is 7.5. It is known that the average of the first five numbers is 8.8, and the average of the last four numbers is 9.5. What is the fifth number?
- 8. Three real numbers form an arithmetic sequence, and their sum is 12, and their product is 48
- 9. Given the arithmetic sequence of three numbers, the sum of which is 12 and the product is 60, we can find these three numbers
- 10. Three numbers are known to be equal difference sequence, and their sum is 12 and product is 60
- 11. 1. If 8, a, B, C, 26 are known to form an arithmetic sequence, find the average and sum of these five numbers, 1. It is known that 8, a, B, C and 26 constitute the arithmetic sequence, and the average and sum of these five numbers are obtained 2. It is known that 8, a, B, C, D and 26 constitute the arithmetic sequence, and the average and sum of these six numbers are obtained
- 12. There are 8 numbers a, B, C, D, e, F, G and h in the arithmetic sequence. If the sum of the intermediate numbers D and E is 16, what is the average of these 8 numbers? What is the sum of these 8 numbers
- 13. The sum of squares of four numbers is 94. The product of the first number and the fourth number is 18 less than the product of the second number and the third number
- 14. The sum of squares of four numbers is 94. The product of the first number and the fourth number is 18 less than the product of the second number and the third number
- 15. The sum of squares of four numbers is 94. The product of the first number and the fourth number is 18 less than the product of the second number and the third number
- 16. If the sum of three numbers is equal to 18 and the sum of their squares is equal to 116, then the three numbers are equal______ ．
- 17. If the sum of three numbers is equal to 18 and the sum of their squares is equal to 116, then the three numbers are equal______ ．
- 18. If three numbers form an arithmetic sequence, their sum is 15 and their sum of squares is 83, what are the three numbers
- 19. If the sum of three numbers is equal to 18 and the sum of their squares is equal to 116, then the three numbers are equal______ ．
- 20. If we know that five numbers form an arithmetic sequence, and their sum is 5, and their sum of squares is 165, we can find these five numbers