Question

................................................................................. evaluate​

Answer 1

c. To Find

$_{k = 0} Σ ^{100} (3 + 5k)$

$_{k = 0} Σ ^{100}(3) + _{k = 0} Σ ^{100}(5k)$

$303 + 5(_{k = 0} Σ ^{100}(k))$

$303 + 5( \frac{100(101)}{2} )$

$303 + (250)(101)$

$303+ 25250$

$_{k = 0} Σ ^{100}(3 + 5k) = 25553$

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d. To Find:

$_{k = 0} Σ ^{100}(3.(1.1) ^{k} )$

$3( _{k = 0} Σ ^{100}(1.1) ^{k} )$

$3(1 + \frac{1.1((1.1) ^{100} - 1)}{(1.1 - 1)}$

$3(1 + 11((1.1) {}^{100} - 1))$

$3(1 + 11(1.1) ^{100} - 11)$

$33(1.1) ^{100} - 30$

≈ 454730.207

Answer 2

Answer:

HeYa MAtE❤️

REFER TO ABOVE ATTACHMENT