Question

arithtemetic sequence with 100 as the sum of first four terms

Answer 1

Question => What are arithmetic sequences with 100 as the sum of the first 4 terms?

Answer => Therefore first A.P 22,24,26,28….

Step-by-step explanation:

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Answer 2

Let first number be a, next three numbers be a+b, a+2b, a+3b. Then 4a+6b=100, or 2a+3b=50.

a=1, b=16: 1,17,33,49 - first four

a=4, b=14: 4,18,32,46 - first four

a=7, b=12: 7,19,31,43 - first four

a=10, b=10: 10,20,30,40 - first four

These above are four arithmetic sequences fit for the answer.

Answer : 1,17,33,49; 4,18,32,46; 7,19,31,43; 10,20,30,40