What word does this rebus represent?

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Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

Two old friends, Jack and Bill, meet after a long time.

Three kids
Jack: Hey, how are you, man?
Bill: Not bad, got married and I have three kids now.
Jack: That's awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.
Jack: Cool..But I still don't know.
Bill: My eldest kid just started taking piano lessons.
Jack: Oh, now I get it.

How old are Bill's kids?

Jack was having a candle light dinner with his girlfriend. Suddenly a cold gush of wind entered through the open window and three of the ten candles were extinguished. Assuming that none of the other candles were extinguished.

How many candles are they left with in the end ?

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

On her drawing table, Sayna lit 12 coloured candles. A few seconds later she blew two candles off.

How many candles Sayna have at the end?

The person who makes it has no need for it. He who purchases it does not use it. The person who does use it does not know they are. What is it?

The centre of the third figure is empty. What digit should fit inside?

A bomb goes off.
Carnage.
One person, only a few feet away, survives! How can this be?

Count the number of lines in the image below ?