How many terms of the series 54,51, 48,.. be taken so that their sum is 513? Explain the double answer

How many terms of the AP 1,2,3,... must be taken so that their sum is 55

How many terms of the AP:24,21,18,... must be taken so that their sum is 78?

How many terms of the A.P.65,60,55... be taken so that their sum is zero?

How many terms of the A.P.9,17,25, must be taken so that their sum is 636?

How many terms of the A.P.63,60,57,..... must be taken so that their sum is 693?

How many terms of the progression 54 + 51 + 48 +... has the sum 513 ? Explain the double answer.

How many terms of the arithmetic progression 45, 39, 33,….. Must be taken so that their sum is 180? Explain the double answer.

How many terms of the arithmetic progression 45, 39, 33,….. Must be taken so that their sum is 180? Explain the double answer.

How many terms of the series 3,6,12,.. having sum 381?