There are two arithmetic sequences 2,6,10 190 and 2,8,14 A new sequence is composed of the common terms of the two arithmetic sequences from small to large, then the sum of the items of the new sequence is__________ .

There are two arithmetic sequences 2,6,10 190 and 2,8,14 A new sequence is composed of the common terms of the two arithmetic sequences from small to large, then the sum of the items of the new sequence is__________ .

Arithmetic sequence 2,6,10 190, tolerance = 4
Arithmetic sequence 2,8,14 , 200, tolerance = 6
A new sequence is formed by the common terms of the two arithmetic sequences, tolerance = 12 (the least common multiple of 4,6)
Maximum term

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