# Tutor profile: Rajesh M.

## Questions

### Subject: Basic Math

What number is next in the sequence? 14 5 18 24 15 28 34

1. First, we need to find a pattern, let's start by taking the first three numbers 14, 5, and 18. 2. The fourth number is 24. Which is the first number, 14, with an addition of 10 (i.e. 14 + 10 = 24). 3. The fifth number is 15. Which is the second number, 5, with an addition of 10 (i.e. 5 + 10 = 15). 4. The sixth number is 28. Which is the third number, 18, with an addition of 10 (i.e. 18 + 10 = 28). So, the pattern is a +10 in the first three numbers. The second set of three numbers becomes 24, 15, and 28. The next (third) set of three numbers (i.e. seventh, eighth and ninth number) should be: (24 + 10 = 34), (15 + 10 = 25) and (28 + 10 = 38). So, your answer is 25, i.e. the eighth number of the series.

### Subject: Mechanical Engineering

What causes hardness in steel ? How heat treatment alters properties of steel ?

The shape and distribution of the carbides in the iron determines the hardness of the steel. Carbides can be dissolved in austenite is the basis of the heat treatment of steel. If steel is heated above the A critical temperature to dissolve all the carbides, and then cooled, suitable cooling through the cooling range will produce the desired size and distribution of carbides in the ferrite, imparting different properties.

### Subject: Algebra

Solve for x the equation log9(x3) = log2(8)

log9(x3) = log2(8) : given log2(23) = 3 : simplify right hand side of given equation. log9(x3) = 3: rewrite the above equation log9(x3) = log9(93) : rewrite 3 as a log base 9. x3 = 93 : obtain algebraic equation from above equation. x = 9 : solve above for x.

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