Using only the factor formulas given in Table 2.6, derive Equation 7.5 starting with Equation 7.3.

TABLE 2.6 Summary of Discrete Compounding Interest Factors. To Find Given Factor Symbol Name P F (1+i)" (P|Fi%,n) Single sum, present worth factor F P (1+i)" (F\Pi%,n) Single sum, compound amount factor (1+i)"-1 P A (PA i%,n) Uniform series, present worth factor i(1 + i)" A P i(1 + i)" (1+i)" -1 (A|Pi%,n) Uniform series, capital recovery factor (1+i)"-1 F A (FA i%,n) Uniform series, compound amount factor i i A F (1+i)"-1 (A|Fi%,n) Uniform series, sinking fund factor [1-(1+ni)(1 + i)"] P G (P|G1%,n) Gradient series, present worth factor (1+i)" - (1+ni) A (A|Gi%,n) Gradient to uniform series conversion factor [(1+i)"-1] P Aj F Aj 1 (1 + j)" (1 + i) i-j (1+i)" (1 + j)" i-j for ij (PA, 1%,j%,n) Geometric series, present worth factor forij (FA 1%,j%) Geometric series, future worth factor