An expression is defined as a set of numbers, variables, and mathematical operations. The summation expressions in increasing order of their values will be C<D<A<B.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression of summation is firstly needed to be calculated.
The summation expressions can be written as,
A.) [tex]\sum_{i=1}^{4}4(5)^{i-1} = 4 + (4 \times 5) +(4\times 5\times 5) + (4\times 5\times 5\times 5) = 624[/tex]
B.) [tex]\sum_{i=1}^{5}3(4)^{i-1} =3+(3\times 4)+(3\times 4\times 4)+(3\times 4\times 4\times 4)=1023[/tex]
C.) [tex]\sum_{i=1}^{5}5(6)^{i-1} =5+(5 \times 6)=35[/tex]
D.) [tex]\sum_{i=1}^{5}(5)^{i-1} = 5^0 + 5^1 + 5^2 + 5^3 + 5^4 = 156[/tex]
Hence, the summation expressions in increasing order of their values will be C<D<A<B.
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