Please help! 25 points! Find the sum of the first 6 terms of the following series, to the nearest integer. 28, 112, 448,.

595

Step-by-step explanation:

First term:  

7

7 ⋅ 4 = 28

Second term:

28

28 ⋅ 4 = 112

Third term:

112

112 ⋅ 4 = 448

Fourth term:

448

This geometric sequence can be further described by the equation:

aₙ = 7 ⋅ 4 ⁿ⁻¹

So if you want to find the 4th term,  n = 4

a ₄ =  7  ⋅  4 ⁴⁻¹  =  7  ⋅  4 ³  =  7  ⋅  64  = 448

Note:

aₙ  =  a₁  rⁿ ⁻¹

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step-by-step explanation:

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