Answer:

24

Step-by-step explanation:

Answer:

Arithmetic Series and Sequence:

The 38th term of the sequence with first term 5 is 1,350,851,717,672,992,091. This can be solved using the concept of both arithmetic sequence and arithmetic series. If we will use the concept of arithmetic sequence. To fill the missing terms we will use the condition that each term is triple the previous term decreased by 4.

Solutions:

a₁ = 5

a₂ = 3(5) - 4 = 15 - 4 = 11

a₃ = 3(11) - 4 = 33 - 4 = 29

a₄ = 3(29) - 4 = 87 - 4 = 83

a₅ = 3(83) -4 = 249 - 4 = 245

a₆ = 3(245) - 4 = 735 - 4 = 731

a₇ = 3(731) - 4 = 2193 - 4 = 2,189

a₈ = 3(2189) - 4 = 6567 - 4 = 6,563

a₉ = 3(6563) - 4 = 19689 - 4 = 19,685

a₁₀ = 3(19685) - 4 = 59055 - 4 = 59,051

a₁₁ = 3(59051) - 4 = 177153 - 4 = 177,149

a₁₂ = 3(177149) - 4 = 531447 - 4 = 531,443

a₁₃ = 3(531443) - 4 = 1594329 - 4 = 1,594,325

a₁₄ = 3(1594325) - 4 = 4782975 - 4 = 4,782,971

a₁₅ = 3(4782971) - 4 = 14348913 - 4 = 14,348,909

a₁₆ = 3(14348909) - 4 = 43046727 - 4 = 43,046,723

a₁₇ = 3(43046723) - 4 = 129140169 - 4 = 129,140,165

a₁₈ = 3(129140165) - 4 = 387420495 - 4 = 387,420,491

a₁₉ = 3(387420491) - 4 = 1162261473 - 4 = 1,162,261,469

a₂₀ = 3(1162261469) - 4 = 3486784407 - 4 = 3,486,784,403

a₂₁ = 3(3486784403) - 4 = 10460353209 - 4 = 10,460,353,205

a₂₂ = 3(10460353205) - 4 = 31381059615 - 4 = 31,381,059,611

a₂₃ = 3(31,381,059,611) - 4 = 94,143,178,833 - 4 = 94,143,178,829

a₂₄ = 3(94,143,178,829) - 4 = 282,429,536,487 - 4 = 282,429,536,483

a₂₅ = 3(282,429,536,483) - 4 = 847,288,609,449 - 4 = 847,288,609,445

a₂₆ = 3(847,288,609,445) -4 = 2,541,865,828,335 - 4 = 2,541,865,828,331

a₂₇ = 3(2,541,865,828,331) - 4 = 7,625,597,484,993 - 4 = 7,625,597,484,989

a₂₈ = 3(7,625,597,484,989) - 4 = 22,876,792,454,967 - 4 = 22,876,792,454,963

a₂₉ = 3(22,876,792,454,963) - 4 = 68,630,377,364,889 - 4 = 68,630,377,364,885

a₃₀ = 3(68,630,377,364,885) - 4 = 205,891,132,094,655 - 4 = 205,891,132,094,651

a₃₁ = 3(205,891,132,094,651) - 4 = 617,673,396,283,953 - 4 = 617,673,396,283,949

a₃₂ = 3(617,673,396,283,949) - 4 = 1,853,020,188,851,847 - 4 = 1,853,020,188,851,843

a₃₃ = 3(1,853,020,188,851,843) - 4 = 5,559,060,566,555,529 - 4 = 5,559,060,566,555,525

a₃₄ = 3(5,559,060,566,555,525) - 4 = 16,677,181,699,666,575 - 4 = 16,677,181,699,666,571

a₃₅ = 3(16,677,181,699,666,571) - 4 = 50,031,545,098,999,713 - 4 = 50,031,545,098,999,709

a₃₆ = 3(50,031,545,098,999,709) - 4 = 150,094,635,296,999,127 - 4 = 150,094,635,296,999,123

a₃₇ = 3(150,094,635,296,999,123) - 4 = 450,283,905,890,997,369 - 4 = 450,283,905,890,997,365

a₃₈ = 3(450,283,905,890,997,365) - 4 = 1,350,851,717,672,992,095 - 4 = 1,350,851,717,672,992,091

Therefore, the 38th term of the sequence is 1,350,851,717,672,992,091.

I hope it helps mark me brainliest then f*llow me

—jadz—✨