what is the sum of first 25 term of the arithmetic sequence 4,9,14,19,24,...? a....

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floresjennyrosekate @floresjennyrosekate

September 2022 1 1 Report

what is the sum of first 25 term of the arithmetic sequence 4,9,14,19,24,...? a. 2500 b. 2505 c. 2510 d. 2515. (with solution po)

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luna3473

Answer:

THE SUM OF THE FIRST 25 TERM IS 1600.

Step-by-step explanation:

GIVEN:

$\: \: \: \: \: \: \: \: \: \: \: \: \bold{a1 = 4 \: \: - \: \: first \: term}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{an = 124\: \: - \: \: last \: term}$

$\: \: \: \: \: \: \: \: \: \: \: \: \bold{n = 25 \: \: - \: \: number \: of \: terms}$

FORMULA:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{\boxed{sn = \frac{n}{2}(a1 + an) }}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{sn = \frac{25}{2} (4 + 124)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{sn = \frac{25}{2} (128)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\bold{\boxed{ \bold{s25 = 1600}}}}$

✓ TO CHECK:

ADD ALL THESE FIRST 25 TERM OF ARITHMETIC SEQUENCE.

ARITHMETIC SEQUENCE:

$\bold{4 \: ,9 \: ,14 \:, 19 \: ,24 \: ,29 \: ,34 \:, 39 \: ,44 \: }$

$\bold{49, 54, 59, 64, 69 \: ,74 \: ,79 \:,84\:,89 }$

$\bold{94\:,99 \: ,104 \: ,109 \: ,114 \:, 119 \: ,124 }$

(The answer is not given in the choices)

#CARRYONLEARNING

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Answers & Comments

THE SUM OF THE FIRST 25 TERM IS 1600.

GIVEN:

FORMULA:

✓ TO CHECK:

ARITHMETIC SEQUENCE:

(The answer is not given in the choices)

#CARRYONLEARNING

Add an Answer

16. Which of the following is an arithmetic sequence?a. -2,4,-8, 16, .. b. 48, 2...

4 pics 1 word kindly help me po asap

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what is the missing term of the arithmetic sequence -1,_,15,23,31,...? a. 6 b. 7...

what word describes radiation with enough energy to change an atom

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